Prove the following identities. Show all steps for full marks. a) COS Зл 2 + x = sin x AND, do only ONE of the following, your choice: b) cos(3x) = 4 cos³x - 3 cos x OR c) tan x-sin.x sin ³x secx 1 + cos x

Q: (1) For sin (sin-¹())=, the output value is the same as the input value. Composing a trigonometric…

A: Until and unless you are using the trigonometric functions in the form of the function given in…

Q: Find the value of cos 1° + cos 3° + Cos 5° +... + cos 177° + cos 179°

A: We can solve this as follows:

Q: Given the diagram below. Find x, to the nearest degree. A хо O 45⁰ O 37⁰ O 53⁰ O 39⁰ 20 C…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 25. Solve the equation 2 sin² = sin 20 in the interval 0≤0 < 2T.

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Q: 5 Evaluate [√√√3+)1¹⁰ 2 2

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Q: Set up a proportion to solve this problem

A: solution: Diameter of ferris wheel =60 ftTime taken in 1 revolution =90 sec…

Q: 22. Sketch the graph as described as: x-intercepts at (4, 0) and (-3, 0) y-intercept at (0, -6)…

A: graph of given function is given below...

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

A: We have to find the remaining sides and angles of the triangle.

Q: Write a value in the box that would make the equation true. In 9 = In 72 -. In 2

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Q: Condense the expression below into a single logarithm. 7.In 3. 3- In 81

A: Topic:- algebra

Q: Q/// irrational numbers is connected or disconnected in R

A: Irrational numbers is disconnected in R.

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: airplane 60° east of of 300 mph. wit a Find An Two has at the due The heading the planes leave 4…

A:

Q: In the following diagram, m AC= 97° and m CD= 112° Find the measure of angle *. 97⁰ D 112

A: Given:

Q: 9. Find other polar coordinates (r,) of the point in polar form given by (3,) for which r <0 and -2π…

A: answer is in next step . please give a like!!

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: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂ : r = 2-2 sin (in red) and let R be the…

A: C1 : r1=3C2 : r2=2-2sinθ----------At intersection point: RHS of C1=RHS of…

Q: Which of the following function(s) do(es) not have vertical asymptotes? y=sinx y=cosx y=tanx (IV)…

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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: PROBLEM: 6. Find the equation of the parabola, given the vertex at (1, 3) and focus (-1, 3). a.…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: olve the vector product and scalar product of two vectors a = (1, 2, 3,) and b = (3, -2, 1)

A: Given a=i+2j+3k b=3i-2j+k

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A:

Q: ense the expression below into a single thm. 133.16 log 64 +log (x+5)

A: Topic:- Algebra

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A: tanx = perpendicular/base

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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…

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A: We have to find out distance from the windows to the taxi

Q: Suppose A = 4i − 6j, B = i + 7j and C = 9i − 5j. Find (a) scalar projection of A onto B (b)…

A: We know that The scalar projection of A on B is  A.B|B| vector projection of C onto A is A.C|A|2A

Q: 个 5. If 90° << 180° and sin0 = find sin O 982 0-√2 0-9√82 Algebra 2 / Module 11: Trigonometric…

A:

Q: Find the fourth roots of ~/~ -i. Write the roots in trigonometric form.

A: Given complex number -12+32iFirst convert it into trigonometric formthe trigonometric form of a…

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A:

Q: 희 3

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: With respect to the given angle of a right triangle, what is the ratio of the adjacent side to the…

A: Answer: A

Q: 16) Using Rational Root Theorem Given 4x²-x² + x + 18 List all possible rational roots. p= ± What…

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Q: Determine whether u and v are orthogonal, parallel, or neither. Explain your reasoning. u = (4,7), v…

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Q: Fill in the blanks to complete the verification. If a squared term is needed, type it as (sin x) sq.…

A:

Q: nd the absolute value of the complex number 1 + 21.

A: Given query is to find the absolute value of the complex number.

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A:

Q: Find in polar form: Z2 Z1 = 21cis (135°) Z₂ = 3cis (75⁰) Z2

A: Given;  z1=21 cis(135) z2=3 cis(75).

Q: Which statement is true? A) All quadrilaterals are parallelograms with TWO PAIRS of PARALLEL SIDES.…

A:

Q: From the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far…

A: Given query is to find the distance of the ship from the light house.

Q: Use the equation editor to find all solutions in the interval [0, 2 TT). 10 cos2 0+ cos 20 = 8

A: Topic:- trigonometry Use the identity cos 2x=2cos2x-1

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A:

Q: 4. 1 + 2 + 2² + 2³ + ... + 2^-¹ = 2^-1 +2²+2³+...+2n-1

A:

Q: In right triangle ABC, C= 90°, a = 3, b = 4, and c=5. Using these information, show that the…

A:

Q: 27. If sin 0: (a) I W|F 1 , then the reference angle for is: 2 (b) - 7 (c) R|M (d) // (e) none of…

A: The value of sin(-30) is -1/2

Q: st stepped into the tub to take a shower when one of your contact len ou have not turned the shower…

A: We will find the probability.

Q: B. Find the six trigonometric ratios of the indicated angle 0. 2. X sin 8- y cos 8 tan 0- csc 8 sec…

A: To find the values of x and y and to find the six trigonometric ratios of the indicated angle θ.