1. Provide a visual proof of the Pythagorean theorem. 2. Write the ratio of the following trigonometric functions from figure 1, sin e cot e csc 0 cos tan 0 25 24

Q: 19) Using Rational Root Theorem and Descartes' Rule of signs. Types of Positive Negative Imaginary…

A: Find out the the roots.

Q: 19-20. Find the longer side and the hypotenuse of a 30° – 60° - 90° triangle if the shorter side is…

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Q: 9) Given the logarithmic function. Find the domain and range. Vertical asymptote at (x-h)=0, f(x) =…

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Q: prove the Cos0=(A.B/AB).

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Q: Solve for x where x = [0,2π]. where x = [0,2]. State exact answers. Include sketches d cla m)…

A: SOLUTION-

Q: Write the complex number 4 COS 7π 4 7π + i sin 4 in the form a + bi.

A: Complex numbers is given in form of a+bi.

Q: Find the value of sec A. A 5 3 C ( А. О в. О с. 4 5 4 513 415 315 В

A:

Q: If cos x = -12/13 and x is in quadrant III, find a. sin () b. cos (2x)

A: given data  cosx = -12/13   a 2sin2x/2 = 1- cosx 2sin2x/2 = 1 -(-12/13) sin2x/2=25/26 sinx/2 = 5/26…

Q: Several research papers use maximum value of P is the sy rate is the number of beats p (a) What is…

A: Given, P(t)= (30sin(5πt/3))+120 We know that, For the given sin function maximum of sin is 1 and…

Q: 2. 1² + 2² + 3² + . . . + n² = n(n+1)(2n+1) 6

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Q: B. Find the six trigonometric ratios of the indicated angle 8. 1. X- sin 0 cos 8- tan 0 csc 8- sec 8…

A: Given triangle is right angle triangle, Whose height is y units, base is 6 units hypotenuse is x…

Q: APPLICATION. Diagram(s) should be included, where appropriate. Question 5. Two birds leave their…

A: This is a problem related to triangle. Based on the general formula and calculation we will answer…

Q: A man on the deck of a ship is 13ft above water level. He observes that the angle of elevation of…

A:

Q: 10) y=2+ sin (0+30) 90° 180° 270° 360° 12) y = sin (0+45) +2 90° -2 450° 180° 270° 360° 450° 540…

A: Given function y=2+sin(θ+30)

Q: Solve for Angle [0°, 360°): (tan x)² - tanx = 0

A:

Q: x dx x²+√√√x²- can be transformed to which of the following using trigonometric substitution? x²-1-1…

A: Explained below

Q: 9. A car is 12 m away from the base of the building. If the angle of elevation is 28°, find the…

A:

Q: 2. f(x)=2¹+¹+4 X Domain: Range: all real numbes End Behavior: As x→∞, f(x)→ ▬▬▬▬▬▬▬▬▬▬ As x-∞,…

A: In this question we have to find Domain and Range of the given function.

Q: 19. From one end of a 6-km straight road, a helicopter is seen hovering directly over the other end…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 4. 110 m 48° X

A: Solution:

Q: Given: √√3 tan 0-1=0 and 0° ≤0 ≤90* 1.3.1 Draw a neat sketch of the triangle based on the above…

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Q: 2-222. 272) 335 2 10) (-2,-2√3)

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Q: Find the component form of v if = 6 and the angle it makes with the x-axis is 150°.

A:

Q: An electrician is running wire from the electric box on a house to a utility pole 85 feet away. The…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: 3 X ESTION 4 C A(-5; -3) Calculate the gradient of AB. Determine the coordinates of point E.…

A: Given, A=(-5,-3) B=(4,12) We know that distance formula,…

Q: Find m44 C 20 km 89 B A) 24° C) 28° 40 km B) 279 D) 30°

A:

Q: 4 Find mLA C 12 mi B A) 23.2° C) 22.1° 27.6 mi 20.3 mi B) 19.9⁰ D) 24.5⁰

A: Explained below

Q: Use given triangle to fill in the blank. B= tan COS sin с

A: Given: cos B = a/c

Q: Clear my choice 6 There are three speed boats at sea: Alpha 1 (A1), Alpha 2 (A2), and Alpha 3(A3).…

A: topic - law of cosines

Q: 6. Determine the exact value of cos45° x tan30° sin60°* a) ²1/² b) 31/22 3 c) 3 D 7. For the angle 8…

A: SOLUTION-

Q: Find mLA 75 32 ft A) 41° C) 44° 23 ft C B) 43° D) 42.6°

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Q: Consider an acute triangle with angles a, 3, and opposite the sides a, b, and c, respectively If sin…

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Q: is Find the quotient when by 4 (00540 + 20(Cos 75 + i sin 75°) isiny0°) √3+i

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Q: 3. f(x) = log2 (x+7)-1 X Domain: Range: End Behavior: As x→→ f(x)→∞ As x→→_____ f(x)→→x x-intercept:…

A: Given:- f(x)=log3(x+7)-1 To find:- Domain,Range ,end behaviour,x and y intercept

Q: Solve the triangle given the following information: a. a = 34°, B = 71°, a = 24 b. b = 3.4, c = 2.8,…

A: This question is related to triangles, we will solve it using given information.

Q: At which of these x-values is the value of y = cos x greater than the value of y = sin x? Select…

A: We can use diagram to solve the given question.

Q: The right triangle shown below has an area of 25. Find its hypotenuse if  a = 2, 8 b = 2, 3  and c…

A: Solve the following

Q: Find the component form of v if = 2 and the angle it makes with the x-axis is 60°.

A: Component of a vector v is given by vx=vcosθ      and vy=vsinθ ,  where θ is the angle made with the…

Q: 4. Given 0 ≤ 0 < 2t, solve cos 20 - cos = 0. 0 0, 풍, 풍 0 0, 1, 2 ○ 쓩, 쓩 01.2

A: see below the answer and calculations

Q: Bacteria in a certain culture increases at an exponential rate. If the number of bacteria triples in…

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Q: Define the six trigonometric function of the acute angle 0 based from the figures below. Write your…

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Q: A girl flying a kite holds the string 4 feet above ground level. The string of the kite is taut and…

A: I am attaching image so that you understand each and every step.

Q: 15. From the top of a barn 7.62 m high, you see a cat on the ground. The angle of depression of the…

A: Angle of depression is 400, Therefore 500 angle made in right angle triangle whose height is let x,…

Q: 2. Determine the corresponding reciprocal ratio that corresponds to cose = a) sece= b) sec8 = 2 c)…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: INSTRUCTIONS: • Please write clearly and understandable way. • Write all the corresponding Given…

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Q: Find the value of cos A. A 5 3 C 4 B

A: We know that,  cosθ=Adjacent sideHypotenuse

Q: Find the trigonometric form of the complex number shown below. √3+i 4 (cos + +15) +isin र √30 3…

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Q: Determine whether the triangles are similar. If so, what are the similarity statement and the…

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Q: Find m4B 17 cm /71 C A) 47° C) 49.9° 21 cm B) 530 D) 56°

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Q: Q7: Trigonometry of a right triangle. The length of a tree's shadow is 22 feet when the angle of…

A: