Verify that the equation is an identity. (Hint: cos 2x = cos (x+x).) cos 2x+2 sin ?x-1= 0 Which of the following statements verifies that the equation is an identity? O A. cos 2x +2 sin²x - 1 = cos?x- sin?x+ sin ?x= cos²x= 0 O B. cos 2x+2 sin²x - 1 = cos?x= cos?x+ sin?x - 1 = 0 OC. cos 2x+2 sin?x-1=2 sin (90° - x) = cos x- (1-cos x) +1=0 O D. cos 2x+2 sin²x-1= cos?x- sin²x+2 sin?x-1=cos²x+sin?x-1=0

Q: Determine whether the statement is true or false Given that cos(2t) = 2 cos²(t) – 1, it follows that…

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Q: 2. Which of the following is not equal to 1: a. sin?x + cos²x b. sec?x – tan²x - c. csc?x – cot²x d.…

A: Given: The objective is to find which the options is not equal to 1.

Q: Verify the identity. cos xcot? x= cos xcsc? x- cos x Which of the following four statements…

A: Given, cosx cot2x = cosx csc2x - cosx  We have to verify the identity  and to find the statement…

Q: Which of the following is a valid step in proving the identity 1/ sin theta - sin theta  = cos 2…

A: Given identity 1sinθ-sinθ=cos2θsecθ Find which of the following is valid for proving the above…

Q: Which of the following is equivalent to | cos(4a)sin (4x) da ? cos udu · 1 sin udu, where u = 4x…

A: The answer is found in step-2.

Q: Given that cos(x)=−1/2, what is cos(−x)?

A: Topic :- Trigonometry Answer cos(-x)= -1/2

Q: Verify the identity. 5 cos? ß – 5 sin? ß = 10 cos? B – 5 5 cos? ß – 5 sin? ß = 5 cos? ß – 5 (1 - = 5…

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Q: If = tan-(1) and 180° < 0< 360°, which of the fo equivalent to cos 0? %3D O 1//2 O None of these O…

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Q: Which of the following is equivalent to 2 cos(3x) cos(5x)? Select an answer and submit. For keyboard…

A: We have the formula,  Cos(A+B) + Cos(A-B) = 2 CosA CosB------(1) Now given that, 2Cos(3x) Cos(5x)…

Q: For what value is this statement true? cos(5x+10)°=sin(4x−1)° A. x=9 B. x=35 C. x=−11 D. x=55

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Q: Which expression is equivalent to sin(2r)cosr? O A. cos(3r) + cos O B. (cos - cos(3x) COS3 Oc…

A: we will following trigonometric identities  sin(A+B) = sin(A) cos(B)+cos (A) sin(B) sin(A-B) =…

Q: Which of the following formulas are NOT correct? Choose two(2) answer sinA sinB =-1/2…

A: We can write the correct option as below

Q: Pls help ASAP

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Q: Verify that the following equation is an identity. cos 2x + cos 2y = 2 cos x + 2 sin y cos x- sin y

A: We use the following identities cos(2x)=2cos2x-1sin(2x) =1-2sin2x(a2-b2)=(a+b)(a-b)

Q: Study the following figure carefully. -10 10 2 (cos x) 2 (sin.x)² O (cos x)? + (sinx)² Explain why…

A: First Pythagorean identity:In a given unit circle, at any angle θ , cos2θ +sin2θ = 1If θ is replaced…

Q: Which of the following is equivalent to 4 cos? r+ 8 sin? 2 +4 tan? x sin? 2? O 4 sec2 x O 4 tan? a O…

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Q: To begin evaluating | sin*xcos xdx conveniently , express: A) None B sin*x as (sin?x)²and use the…

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Q: Which of the following is equivalent to 4 sin? x cos? x- 1? O - sin 2x | O cos? 2x O- cos? 2x | O…

A: Which of the following is equivalent to  4sin2x cos2 -1 ?

Q: Which expression is equivalent to Cos(4x) + cos(2r)? O A. 2cos(3r)cos Ов. -2sin(3r)sinr C.…

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Q: Which of the following is equivalent (cos x + sin x)(cos x – sin x) 1. sin? 2x

A: We have to choose the equivalent to

Q: Which of the following is equivalent to 4 cos? x + 8 sin? x +4 tan? x sin? x? O 4 tan? x -4 4 sec2 x…

A: Given 4cos2x+8sin2x+4tan2xsin2xThis can be written as 4cos2x+4sin2x+4sin2x+4tan2xsin2xWe know that…

Q: How many solutions are there in the interval 0 < x < 27 for the equation 4 cos 3x = 9? o 1

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Q: 1 simplifies to which of The expression che following? (a) 2 cos² 0 (b) 2 sec? e (c) 2 sin? 0 (d) 2…

A: Let the given expression be y - y = 11-sinθ+11+sinθy = 1×1+sinθ+1×1-sinθ1-sinθ1+sinθy =…

Q: Which one of the following is not equal to cos 4x for all real values of x?«- A sin? 2x – cos? 2x+ В…

A: Evaluating each of the options given

Q: Solve the problem. Express 15° as a - ß, where cos a and cos ß are known exactly. 47° - 32° 80° -…

A: The objective is to find the correct option.

Q: How many of the solutions to the following equation are in the interval 0, 2|? 2 sin (x) + cos?(x)+4…

A: How many of the solutions of the following equation are in the interval 0,2π ?     2 sin2x+cos2x+4…

Q: Verify the identity. Cos sin 2 X = 1-2 sin ? X- Which of the following four statements establishes…

A: We have used trigonometric identites here

Q: Verify the identity. sec? xcsc? x= sec? x+ csc Which of the following four statements establishes…

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Q: Which of the following is not true? a) cos?t+ sin²t = 1 b) csc²t - cot2t=1 c) cos?t- sim²t = 1 d)…

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Q: Use the following information to determine cos(2x). cos(x)=3/4 and sin(x) is positive.

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Q: Verify the identity. (csc? 0+ 1) (- cos? 0+1) = 2- cos? 0 Which of the following four statements…

A: our objective is to verify the above identity.

Q: Which of the following is equivalent to: sin? 2x O 4 cos“ – 4 cos² 4 cos? a – 4 cos“ O 2 cos“ – 2…

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Q: 5. Given 0 < θ < 2m, solve-2 sin? 8 + cos θ-1 %3D0. O 0, 27 ○ 0, 플

A: We have to solve the given trigonometric equation in the given interval, -2 sin2 θ+cos θ-1=0,…

Q: -x=2 cos x

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1. Which of the following is not true? a. Sin?ø + Cos²Ø = 1 b. sin 6 = 2 sin 6 cos 6 c. 1- cot?x =…

A: These all are forms of                               "Trigonometric Identities".

Q: 4 5. If coSx =- and " <x s 2n, what is tan 2x? 2 6. If 2sin2x = 3 cos2x and 0 < 2x s, what is x?

A: 5) given: cosx=45 and 3π2≤x≤2π we have to find the value of tan2x.

Q: Verify the identity. 5 cos? B – 5 sin? ß = 10 cos² ß – 5 5 cos? ß – 5 sin? B = 5 cos? 6 – 5 (1 - = 5…

A: Given : 5cos2β-5sin2β = 10cos2β-5

Q: Verify the identity. (1 - sin?(t) + 3 cos²(t))2 + 16 sin?(t) cos?(t) = 16 cos?(t) (1 - sin?(t) + 3…

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Q: Prove the identity: cos(x + y)cos(x – y) = cos?x – sin²y

A: Given,          cosx+ycosx-y=cos2x-sin2y

Q: 2. If sin A = -35 with A in QIII and cos B = 5 13 with B in QIV, find the following. a. sin (A + B)…

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Q: Use the following information to determine sin(2x). cos(x)=−1/4 and sin(x) is positive.

A: Given: cosx=-14 and sinx is positive, To determine: The value of sin2x.

Q: Which one of the following is not equal to cos 4x for all real values of x? A sin? 2x – cos? 2x B 2…

A: Follow 2nd step.

Q: Which of the following expressions is equal to the given expression below? 1-c O s 8x 1+c oS 4x V1 –…

A: 1-cos8x1+cos4x

Q: The simplified form of [csc(-a) + cos(-x)] · [5 sin? x sec? a] -5 sin æ sec? æ + 5 sin² x sec x O -5…

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Q: Which of the following is an identity? A. cos 4x = 4 cos x 2 sin 2r cos 2r D tan 3r 3 tan r B. sin(x…

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Q: hich is the equivalent form of the expression 2+tan'z 1? - sec ӕ cos I cos z- 2 sin? x 1+sin2 z O no…

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Q: 10. Use the formula cos(2a) = 1 – 2 sin? æ to find cos , if sin O v2 2 O v? 2 O_1 2

A: Given that       cos(2x) = 1 - 2sin2(x)  and sin(pi/4)=√2/2 Here we have to find cos(pi/2).

Q: 5. Select all that are true. (xª)° = rab sin? 0 + cos? 0 = 1 V2

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Q: a) Simplify cos "+ sin (3x) in terms of x . 2 [Hint: cos(A B)= cos Acos B sin A sin B1

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…