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2. Find the exact values of the 6 trig functions of 0 if 0 is in standard position and the terminal side of 0 is in the given quadrant QII, On the line y = -3x Step 1: Draw the complete line (use slope and y-intercept). Draw 0 from the x-axis to the line. Step 2: Note that we are only using the portion of the line in QII. Is that where x ≥ 0 or x ≤ 0? Step 3: Find a point on the line in QII. Step 4: Draw in the triangle by dropping a vertical line from the point to the x-axis. Label 0', x, and y. Step 5: Use the Pythagorean Theorem to find the length of the hypotenuse and label it. Step 6: Evaluate the 6 trig functions for the angle using the triangle and the definitions involving x, y, and r, or you can use SOH CAH TOA. (Be sure to simplify the fractions.) (Hint: use the unsimplified forms from sin 0 and cos 0 to get the reciprocals) csc 0 = sec 0 = sin = cos 0 = tan 0 = cot 0 =

2. Find the exact values of the 6 trig functions of 0 if 0 is in standard position and the terminal side of 0 is in the given quadrant QII, On the line y = -3x Step 1: Draw the complete line (use slope and y-intercept). Draw 0 from the x-axis to the line. Step 2: Note that we are only using the portion of the line in QII. Is that where x ≥ 0 or x ≤ 0? Step 3: Find a point on the line in QII. Step 4: Draw in the triangle by dropping a vertical line from the point to the x-axis. Label 0', x, and y. Step 5: Use the Pythagorean Theorem to find the length of the hypotenuse and label it. Step 6: Evaluate the 6 trig functions for the angle using the triangle and the definitions involving x, y, and r, or you can use SOH CAH TOA. (Be sure to simplify the fractions.) (Hint: use the unsimplified forms from sin 0 and cos 0 to get the reciprocals) csc 0 = sec 0 = sin = cos 0 = tan 0 = cot 0 =

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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2. Find the exact values of the 6 trig functions of 0 if 0 is in standard position and the terminal side of 0 is in the given quadrant QII, On the line y = -3x Step 1: Draw the complete line (use slope and y-intercept). Draw 0 from the x-axis to the line. Step 2: Note that we are only using the portion of the line in QII. Is that where x ≥ 0 or x ≤ 0? Step 3: Find a point on the line in QII. Step 4: Draw in the triangle by dropping a vertical line from the point to the x-axis. Label 0', x, and y. Step 5: Use the Pythagorean Theorem to find the length of the hypotenuse and label it. Step 6: Evaluate the 6 trig functions for the angle using the triangle and the definitions involving x, y, and r, or you can use SOH CAH TOA. (Be sure to simplify the fractions.) (Hint: use the unsimplified forms from sin 0 and cos 0 to get the reciprocals) sin 0 = csc 0 = cos0= tan 0 = sec 0 = cot 0 =
Transcribed Image Text:2. Find the exact values of the 6 trig functions of 0 if 0 is in standard position and the terminal side of 0 is in the given quadrant QII, On the line y = -3x Step 1: Draw the complete line (use slope and y-intercept). Draw 0 from the x-axis to the line. Step 2: Note that we are only using the portion of the line in QII. Is that where x ≥ 0 or x ≤ 0? Step 3: Find a point on the line in QII. Step 4: Draw in the triangle by dropping a vertical line from the point to the x-axis. Label 0', x, and y. Step 5: Use the Pythagorean Theorem to find the length of the hypotenuse and label it. Step 6: Evaluate the 6 trig functions for the angle using the triangle and the definitions involving x, y, and r, or you can use SOH CAH TOA. (Be sure to simplify the fractions.) (Hint: use the unsimplified forms from sin 0 and cos 0 to get the reciprocals) sin 0 = csc 0 = cos0= tan 0 = sec 0 = cot 0 =
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