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Math Trigonometry Trigonometry (MindTap Course List)

Problems 65 through 68 refer to right triangle ABC w ith C 90°, In each case, use a calculator to find sin A, cos A, sin B, and cos B. Round your answers to the nearest hundredth if necessary. a = 13.64 , b = 4.77

Problems 65 through 68 refer to right triangle ABC w ith C 90°, In each case, use a calculator to find sin A, cos A, sin B, and cos B. Round your answers to the nearest hundredth if necessary. a = 13.64 , b = 4.77

Solution Summary: The author illustrates the Pythagorean Theorem by drawing a right triangle ABC with C=90° and rounding the answer to the nearest hundredth.

Trigonometry (MindTap Course List)

Trigonometry (MindTap Course List)

8th Edition

ISBN: 9781305652224

Author: Charles P. McKeague, Mark D. Turner

Publisher: Cengage Learning

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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Textbook Question

Chapter 2.1, Problem 68PS

Problems 65 through 68 refer to right triangle ABC with C 90°, In each case, use a calculator to find sin A, cos A, sin B, and cos B. Round your answers to the nearest hundredth if necessary. a = 13.64 , b = 4.77

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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Chapter 2.1, Problem 67PS

Chapter 2.1, Problem 69PS

Chapter 2 Solutions

Trigonometry (MindTap Course List)

Ch. 2.1 - For Questions 1 through 3, fill in each blank with...Ch. 2.1 - For Questions 1 through 3, fill in each blank with...Ch. 2.1 - For Questions 1 through 3, fill in each blank with...Ch. 2.1 - Match each trigonometric function with its...Ch. 2.1 - Prob. 5PS Ch. 2.1 - Prob. 6PS Ch. 2.1 - Prob. 7PS Ch. 2.1 - Prob. 8PS Ch. 2.1 - Prob. 9PS Ch. 2.1 - Prob. 10PS

Ch. 2.1 - In each of the following right triangles, find sin...Ch. 2.1 - Prob. 12PS Ch. 2.1 - Prob. 13PS Ch. 2.1 - In each of the following right triangles, find sin...Ch. 2.1 - Prob. 15PS Ch. 2.1 - Prob. 16PS Ch. 2.1 - In each of the following right triangles, find sin...Ch. 2.1 - Prob. 18PS Ch. 2.1 - Prob. 19PS Ch. 2.1 - In each of the following diagrams, angle A is in...Ch. 2.1 - Use Definition II to explain why, for any acute...Ch. 2.1 - Prob. 22PS Ch. 2.1 - Use Definition II to explain why it is possible to...Ch. 2.1 - Use Definition II to explain why it is possible to...Ch. 2.1 - Prob. 25PS Ch. 2.1 - Use the Cofunction Theorem to fill in the blanks...Ch. 2.1 - Use the Cofunction Theorem to fill in the blanks...Ch. 2.1 - Prob. 28PS Ch. 2.1 - Prob. 29PS Ch. 2.1 - Use the Cofunction Theorem to fill in the blanks...Ch. 2.1 - Use the Cofunction Theorem to fill in the blanks...Ch. 2.1 - Use the Cofunction Theorem to fill in the blanks...Ch. 2.1 - Prob. 33PS Ch. 2.1 - Complete the following tables using exact values.Ch. 2.1 - Simplify each expression by first substituting...Ch. 2.1 - Simplify each expression by first substituting...Ch. 2.1 - Simplify each expression by first substituting...Ch. 2.1 - Simplify each expression by first substituting...Ch. 2.1 - Simplify each expression by first substituting...Ch. 2.1 - Prob. 40PS Ch. 2.1 - Simplify each expression by first substituting...Ch. 2.1 - Prob. 42PS Ch. 2.1 - Prob. 43PS Ch. 2.1 - Simplify each expression by first substituting...Ch. 2.1 - Prob. 45PS Ch. 2.1 - Prob. 46PS Ch. 2.1 - For each expression that follows, replace x with...Ch. 2.1 - For each expression that follows, replace x with...Ch. 2.1 - For each expression that follows, replace x with...Ch. 2.1 - Prob. 50PS Ch. 2.1 - For each expression that follows, replace x with...Ch. 2.1 - Prob. 52PS Ch. 2.1 - Prob. 53PS Ch. 2.1 - Prob. 54PS Ch. 2.1 - Prob. 55PS Ch. 2.1 - Prob. 56PS Ch. 2.1 - Prob. 57PS Ch. 2.1 - Prob. 58PS Ch. 2.1 - Prob. 59PS Ch. 2.1 - Prob. 60PS Ch. 2.1 - Prob. 61PS Ch. 2.1 - Prob. 62PS Ch. 2.1 - Prob. 63PS Ch. 2.1 - Find exact values for each of the following, if...Ch. 2.1 - Prob. 65PS Ch. 2.1 - Prob. 66PS Ch. 2.1 - Prob. 67PS Ch. 2.1 - Problems 65 through 68 refer to right triangle ABC...Ch. 2.1 - Prob. 69PS Ch. 2.1 - Prob. 70PS Ch. 2.1 - Geometry: Characteristics of a Cube The object...Ch. 2.1 - Prob. 72PS Ch. 2.1 - Prob. 73PS Ch. 2.1 - Prob. 74PS Ch. 2.1 - Prob. 75PS Ch. 2.1 - Prob. 76PS Ch. 2.1 - Prob. 77PS Ch. 2.1 - Prob. 78PS Ch. 2.1 - Triangle ABC is a right triangle with C=90. If a =...Ch. 2.1 - According to the Cofunction Theorem, which value...Ch. 2.1 - Prob. 81PS Ch. 2.1 - Prob. 82PS Ch. 2.2 - Prob. 1PS Ch. 2.2 - For Questions 1 through 4, fill in each blank with...Ch. 2.2 - Prob. 3PS Ch. 2.2 - Prob. 4PS Ch. 2.2 - Prob. 5PS Ch. 2.2 - Prob. 6PS Ch. 2.2 - Prob. 7PS Ch. 2.2 - Prob. 8PS Ch. 2.2 - Prob. 9PS Ch. 2.2 - Prob. 10PS Ch. 2.2 - Prob. 11PS Ch. 2.2 - Add or subtract as indicated. 90(6225)Ch. 2.2 - Prob. 13PS Ch. 2.2 - Prob. 14PS Ch. 2.2 - Prob. 15PS Ch. 2.2 - Prob. 16PS Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Prob. 19PS Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Prob. 21PS Ch. 2.2 - Prob. 22PS Ch. 2.2 - Prob. 23PS Ch. 2.2 - Prob. 24PS Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Prob. 26PS Ch. 2.2 - Prob. 27PS Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Prob. 29PS Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Prob. 31PS Ch. 2.2 - Prob. 32PS Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Prob. 35PS Ch. 2.2 - Prob. 36PS Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Prob. 40PS Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Prob. 47PS Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Prob. 49PS Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Prob. 52PS Ch. 2.2 - Prob. 53PS Ch. 2.2 - Use a calculator to complete the following table....Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Prob. 59PS Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Prob. 65PS Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - Prob. 70PS Ch. 2.2 - Prob. 71PS Ch. 2.2 - Prob. 72PS Ch. 2.2 - To further justify the Cofunction. Theorem use...Ch. 2.2 - Prob. 74PS Ch. 2.2 - To further justify the Cofunction. Theorem, use...Ch. 2.2 - To further justify the Cofunction. Theorem, use...Ch. 2.2 - Prob. 77PS Ch. 2.2 - Prob. 78PS Ch. 2.2 - Prob. 79PS Ch. 2.2 - Prob. 80PS Ch. 2.2 - What happens when you try to find A for sin A =...Ch. 2.2 - What happens when you try to find B for sin B =...Ch. 2.2 - What happens when you try to find tan 90 on your...Ch. 2.2 - What happens when you try to find cot 0 on your...Ch. 2.2 - Prob. 85PS Ch. 2.2 - Prob. 86PS Ch. 2.2 - Prob. 87PS Ch. 2.2 - Sundials The Moorish sundial is designed so that...Ch. 2.2 - Prob. 89PS Ch. 2.2 - Prob. 90PS Ch. 2.2 - Prob. 91PS Ch. 2.2 - Find sin,cos, and tan for each value of . (Do not...Ch. 2.2 - Find the remaining trigonometric functions of ...Ch. 2.2 - Find the remaining trigonometric functions of ...Ch. 2.2 - Prob. 95PS Ch. 2.2 - Prob. 96PS Ch. 2.2 - Prob. 97PS Ch. 2.2 - Prob. 98PS Ch. 2.2 - Prob. 99PS Ch. 2.2 - Given cot=x for some value x. Which of the...Ch. 2.3 - For Questions 1 through 4, fill in each blank with...Ch. 2.3 - For Questions 1 through 4, fill in each blank with...Ch. 2.3 - For Questions 1 through 4, fill in each blank with...Ch. 2.3 - Prob. 4PS Ch. 2.3 - Prob. 5PS Ch. 2.3 - For Problems 5 through 8, determine the number of...Ch. 2.3 - Prob. 7PS Ch. 2.3 - Prob. 8PS Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Prob. 10PS Ch. 2.3 - Prob. 11PS Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Prob. 13PS Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Prob. 16PS Ch. 2.3 - Prob. 17PS Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Prob. 19PS Ch. 2.3 - Prob. 20PS Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Prob. 22PS Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Prob. 25PS Ch. 2.3 - Prob. 26PS Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Prob. 28PS Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Prob. 33PS Ch. 2.3 - Prob. 34PS Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - In Problems 39 and 40, use the information given...Ch. 2.3 - In Problems 39 and 40, use the information given...Ch. 2.3 - Prob. 41PS Ch. 2.3 - Prob. 42PS Ch. 2.3 - Prob. 43PS Ch. 2.3 - Prob. 44PS Ch. 2.3 - Prob. 45PS Ch. 2.3 - Figure 8 shows two right triangles drawn at 900 to...Ch. 2.3 - Figure 8 shows two right triangles drawn at 900 to...Ch. 2.3 - Figure 8 shows two right triangles drawn at 900 to...Ch. 2.3 - Prob. 49PS Ch. 2.3 - Prob. 50PS Ch. 2.3 - Prob. 51PS Ch. 2.3 - Prob. 52PS Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - Suppose each edge of the cube shown in Figure 10...Ch. 2.3 - Suppose each edge of the cube shown in Figure 10...Ch. 2.3 - Suppose each edge of the cube shown in Figure 10...Ch. 2.3 - Soccer A regulation soccer field has a rectangular...Ch. 2.3 - Prob. 59PS Ch. 2.3 - Soccer A regulation soccer field has a rectangular...Ch. 2.3 - Prob. 61PS Ch. 2.3 - Prob. 62PS Ch. 2.3 - Prob. 63PS Ch. 2.3 - Prob. 64PS Ch. 2.3 - Ferris Wheel In 1897, a Ferris wheel was built in...Ch. 2.3 - Ferris Wheel A Ferris wheel with a diameter of 165...Ch. 2.3 - Observation Wheel the London Eye has a diameter of...Ch. 2.3 - Observation Wheel The High Roller, located on the...Ch. 2.3 - Human Cannonball In Example 2 of Section 1.2, we...Ch. 2.3 - Prob. 70PS Ch. 2.3 - Prob. 71PS Ch. 2.3 - Prob. 72PS Ch. 2.3 - Prob. 73PS Ch. 2.3 - Prob. 74PS Ch. 2.3 - Find the remaining trigonometric ratios for based...Ch. 2.3 - Find the remaining trigonometric ratios for based...Ch. 2.3 - Find the remaining trigonometric ratios for based...Ch. 2.3 - Find the remaining trigonometric ratios for based...Ch. 2.3 - Prob. 79PS Ch. 2.3 - Prob. 80PS Ch. 2.3 - Prob. 81PS Ch. 2.3 - A Ferris wheel has a radius of 45 feet and the...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - Prob. 3PS Ch. 2.4 - Prob. 4PS Ch. 2.4 - Prob. 5PS Ch. 2.4 - Prob. 6PS Ch. 2.4 - Prob. 7PS Ch. 2.4 - Prob. 8PS Ch. 2.4 - Prob. 9PS Ch. 2.4 - Prob. 10PS Ch. 2.4 - Prob. 11PS Ch. 2.4 - Prob. 12PS Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Prob. 20PS Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Figure 15 shows the topographic map e used in...Ch. 2.4 - Figure 15 shows the topographic map e used in...Ch. 2.4 - Distance and Bearing Problems 27 through 32...Ch. 2.4 - Distance and Bearing Problems 27 through 32...Ch. 2.4 - Distance and Bearing Problems 27 through 32...Ch. 2.4 - Distance and Bearing Problems 27 through 32...Ch. 2.4 - Prob. 31PS Ch. 2.4 - Prob. 32PS Ch. 2.4 - Height of a Door From a point on the floor the...Ch. 2.4 - Height of Building A man standing on the roof of a...Ch. 2.4 - Height of an Obelisk Two people decide to find the...Ch. 2.4 - Distance In Figure 18, a person standing at point...Ch. 2.4 - Height of a Tree An ecologist wishes to find the...Ch. 2.4 - Rescue A helicopter makes a forced landing at sea....Ch. 2.4 - Height of a Flagpole Two people decide to estimate...Ch. 2.4 - Height of a Tree To estimate the height of a tree,...Ch. 2.4 - Radius of Earth A satellite is circling 112 miles...Ch. 2.4 - Distance Suppose Figure 22 is an exaggerated...Ch. 2.4 - Distance A ship is anchored off a long straight...Ch. 2.4 - Distance Pat and Tim position themselves 2.5 miles...Ch. 2.4 - Spiral of Roots Figure 23 shows the Spiral of...Ch. 2.4 - Spiral of Roots Figure 23 shows the Spiral of...Ch. 2.4 - One of the items we discussed in this section was...Ch. 2.4 - Albert lives in New Orleans. At noon on a summer...Ch. 2.4 - Prob. 49PS Ch. 2.4 - Prob. 50PS Ch. 2.4 - Prob. 51PS Ch. 2.4 - Prob. 52PS Ch. 2.4 - Prob. 53PS Ch. 2.4 - Show that each of the following statements is true...Ch. 2.4 - Prob. 55PS Ch. 2.4 - Prob. 56PS Ch. 2.4 - Prob. 57PS Ch. 2.4 - If the angle of elevation to the sun is 74.3 when...Ch. 2.4 - A ship is anchored off a long straight shoreline...Ch. 2.4 - To estimate the height of a tree, one person...Ch. 2.5 - Prob. 1PS Ch. 2.5 - For Questions 1 through 8, fill in each blank with...Ch. 2.5 - Prob. 3PS Ch. 2.5 - Prob. 4PS Ch. 2.5 - For Questions 1 through 8, fill in each blank with...Ch. 2.5 - Prob. 6PS Ch. 2.5 - Prob. 7PS Ch. 2.5 - Prob. 8PS Ch. 2.5 - Draw vectors representing the following...Ch. 2.5 - Prob. 10PS Ch. 2.5 - Prob. 11PS Ch. 2.5 - Prob. 12PS Ch. 2.5 - Prob. 13PS Ch. 2.5 - Prob. 14PS Ch. 2.5 - Prob. 15PS Ch. 2.5 - Prob. 16PS Ch. 2.5 - Bearing and Distance A person is riding in a hot...Ch. 2.5 - Prob. 18PS Ch. 2.5 - Prob. 19PS Ch. 2.5 - Prob. 20PS Ch. 2.5 - Prob. 21PS Ch. 2.5 - Prob. 22PS Ch. 2.5 - Prob. 23PS Ch. 2.5 - Prob. 24PS Ch. 2.5 - Prob. 25PS Ch. 2.5 - Prob. 26PS Ch. 2.5 - Prob. 27PS Ch. 2.5 - For each problem below, the magnitudes of the...Ch. 2.5 - Navigation A ship is 2.8 off course. If the ship...Ch. 2.5 - Navigation If a navigation error puts a plane 1.9...Ch. 2.5 - Prob. 31PS Ch. 2.5 - Prob. 32PS Ch. 2.5 - Prob. 33PS Ch. 2.5 - Prob. 34PS Ch. 2.5 - Distance A ship travels 130 kilometers on a...Ch. 2.5 - Prob. 36PS Ch. 2.5 - Velocity of an Arrow An arrow is shot into the air...Ch. 2.5 - Velocity of an Arrow the horizontal and vertical...Ch. 2.5 - Distance A plane travels 170 miles on a bearing of...Ch. 2.5 - Distance A ship travels in the direction S 120 E...Ch. 2.5 - Prob. 41PS Ch. 2.5 - Prob. 42PS Ch. 2.5 - Force An 8.0-pound weight is lying on a sit-up...Ch. 2.5 - Force Repeat Problem 43 for a 25.0-pound weight...Ch. 2.5 - Prob. 45PS Ch. 2.5 - Prob. 46PS Ch. 2.5 - Prob. 47PS Ch. 2.5 - Prob. 48PS Ch. 2.5 - Prob. 49PS Ch. 2.5 - Prob. 50PS Ch. 2.5 - Draw 135 in standard position, locate a convenient...Ch. 2.5 - Prob. 52PS Ch. 2.5 - Prob. 53PS Ch. 2.5 - Prob. 54PS Ch. 2.5 - Prob. 55PS Ch. 2.5 - Prob. 56PS Ch. 2.5 - Prob. 57PS Ch. 2.5 - Prob. 58PS Ch. 2.5 - Prob. 59PS Ch. 2.5 - Prob. 60PS Ch. 2 - Find sin A, cos A, tan A, and sin B, cos B, and...Ch. 2 - Prob. 2CT Ch. 2 - Prob. 3CT Ch. 2 - Use Definition II to explain why, for any acute...Ch. 2 - Fill in the blank to make the statement true: sin...Ch. 2 - Prob. 6CT Ch. 2 - Prob. 7CT Ch. 2 - Prob. 8CT Ch. 2 - Prob. 9CT Ch. 2 - Prob. 10CT Ch. 2 - Prob. 11CT Ch. 2 - Prob. 12CT Ch. 2 - Use a calculator to find the following. Round to...Ch. 2 - Use a calculator to find the following. Round to...Ch. 2 - Use a calculator to find the following. Round to...Ch. 2 - Use a calculator to find to the nearest tenth of...Ch. 2 - Use a calculator to find to the nearest tenth of...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - Prob. 19CT Ch. 2 - Prob. 20CT Ch. 2 - Prob. 21CT Ch. 2 - Geometry If the altitude of an isosceles triangle...Ch. 2 - Angle of Elevation If the angle of elevation of...Ch. 2 - Distance Two guy wires from the top of a 35-foot...Ch. 2 - Prob. 25CT Ch. 2 - Prob. 26CT Ch. 2 - Distance and Bearing A ship travels 120 miles on a...Ch. 2 - Force Tyler and his cousin Kelly have attached a...Ch. 2 - Prob. 29CT Ch. 2 - Prob. 30CT Ch. 2 - Prob. 1GP Ch. 2 - Use your knowledge of a 306090 triangle to find...Ch. 2 - Prob. 3GP Ch. 2 - Prob. 4GP Ch. 2 - Prob. 5GP Ch. 2 - Prob. 6GP Ch. 2 - The origins of the sine function are found in the...

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Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities; Author: Mathispower4u;https://www.youtube.com/watch?v=OmJ5fxyXrfg;License: Standard YouTube License, CC-BY