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

Q: The Equivalent expression of cos 3A sin A cos A is Select one: csc A – 2 sin A + 2 sin? A CSc A csc…

A: Simplification of trigonometric ratio

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: Which of the following is an equivalent expression to: 1-cos² (0) sin (0) cos(0)

A:

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…

A:

Q: Which one of the following is an equivalent expression to2 sin cos O sin 7 O2 sin T O2 cos T COS T

A:

Q: Jse a sum or difference formula to find the exact value of the following. 9n cos 28 sin cos sin 7 7…

A: To evaluate the expression:sin4π7cos9π28-cos4π7sin9π28

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 one of the following equations is not and identity? 1. + sin°(0) + cos (e) = sec (ø) cot (e 3.…

A:

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

A:

Q: Which of the following is equal to cos A cos B? 1 [A] [sin(4 + B) – sin(A – B)] 1 [B] [sin(A + B) +…

A: Use trigonometric identities.

Q: Which of the following is not equivalent to cos (-? 4 a. sin O b. sin(45°) cos С. cOS d. cos 4

A: Given that: cos-π4

Q: Considering only the values of B for which sec B(1 + cos B)(1 – cos B) is defined, which of the…

A: To simplify this expression, multiply the parenthesis using FOIL method

Q: Verify the identity. 9 cos? ß – 9 sin?ß = 18 cos? ß – 9 9 cos? ß – 9 sin? ß = 9 cos? p – 9 (1 – - 9…

A: In this question we have to use trigonometry Identity i.e.    Sin2x + Cos2x = 1

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…

A:

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: Establish the identity. 2 cos a- sin "a= a-1 2 2 cos? Using the identity sin a+ cos a= 1, make the…

A:

Q: a. Apply the formula for cos (A – B) to the identity sin 0 = - 0) to obtain the addition formula for…

A: a) cosA-B=cosAcosB+sinAsinBPut, A=π2, B=θThen,  cosπ2-θ=cosπ2cosθ+sinπ2sinθ…

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

A:

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: Which of the following is FALSE? A. sin? 0 + cos? 0 = 1 B. 1+ cot? 0 = csc² 0 C. 1+ tan? 0 = sec2 0…

A:

Q: Which of the following is cos? (x)? O 2 sin(x) O-2 cos(sin(x)) O-2 sin(x) cos(x) O 2 sin(x) cos(x)…

A: On differentiating,we get

Q: Which of the following is not equivalent to cos (-)? a. sin 4 O b. sin (45°) C. cos (주) O d. cos

A: Which of the following is not equivalent to cos (-π/4) a. sin(5π/4) b. sin (45°) c. cos(π/4) d. cos…

Q: Which of the following is not equivalent to cos(0 + 0)? cos 8 cos 0- sin 60 sin 0 1- 2 sin? 0 O…

A:

Q: 8. Verify the identity: 1- cos h sin? h h h(1 + cos h)

A: To verify:1-coshh = sin2hh1+coshUseful for the question:  sin2x + cos2x = 1a2 - b2 = a-ba+b

Q: The expression sin? 0 is equal to O 1- cos 20 O 1- cos O 1+ cos 20 01+cos(을) 2 2.

A: use formula of cos(2A)

Q: For any real numbers a, n, and C, cosn?+4 0 + C. 2 COS n²+3 O d0 = a cos а cos n² + 4 O True False

A:

Q: 9 Find 0 if 0<0 < 2m and: b sin 0 = a cos 0 == C cos 0 = -1 %3D %3D Cos A sin? A = 1 cos? A = 1

A: Solution:- This can be calculated according to quadrant

Q: Find the exact value of the expression. 3 sin | 2 cos 24 OA. 25 24 OB. 25 12 OC. 25 12 O D. 25

A: The given expression is : sin2 cos-1-35 To find the exact value of the expression.

Q: 16. If sin O - cos O = 1 / 3, determine the value of sin O cos O. A. 5 / 4 B. 5 / 9 С.4/9 D. 4 / 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: cos 52.5° cos 7.5° %3D II

A: We know that cosAcosB=12cosA+B+cosA-B

Q: Evaluate the integral.

A:

Q: Which of the following is not equivalent to cos(0 + 0)? cos 0 cos 0- sin 0 sin 0 1– 2 sin? 0 Option…

A: Solution:

Q: What must be the value of A so that cos(a +y) + cos(x – y) = A cos a cos y? %3D O 2 O -1/2 O-2 O 1/2…

A:

Q: Which of the following completes the formula of cos (a + B) = ? Choose the correct answer below. O…

A: the following comes under the Trigonometric addition and subtraction formula

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: 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: prove the identity: 4 sin A cos^3A- 4 sin ^3A cos A

A: The first fill in the blank is wrong.

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…

A:

Q: The term cos(2a) can also be written as ... O 2 cos? a – 1 2 sin a – 1 O2 sin a cos a sin? a + cos?a

A: Let, cos2α=cosα+α Since, cosA+B=cosAcosB-sinAsinB

Q: 11) cos? 0 = 2+ 2sin 0

A: Given query is to find the value of angle theta.

Q: 3. If sin e = -2/3 and 180° & e s 270°, find the exact value of the following: (a) sin 2 e = (b) cos…

A:

Q: Which of the following expressions is equivalent to (1+ cos 0)²? COS 1+2 cos(0) + cos²(0) • 1+ cos²…

A: important formula   ;   (a+b)2= a2+b2+2ab

Q: 2/2 Suppose cos(a): , where sin(a)<0 and cos(B) where <B<n, what is the exact value of cos(a +B)?…

A: Here we have to choose the corect option.

Q: Verify the identity. 9 cos? ß – 9 sin?ß = 18 cos² ß – 9 9 cos? ß – 9 sin? 6 = 9 cos² ß – 9 ( 1…

A: Consider the identity 9cos2β−9sin2β=18cos2β−9

Q: 1 Cos(2) COS is equal 2]

A:

Q: Which of the following is TRUE? A. sin? 을 + cos? 을=D 1 2 B. sin 20 + cos² 20 = 2 %3D C. sec2 - tan?…

A: Solving LHS and comparing to RHS

Q: Which of the following expression is equal to cos2 0+ sin? 0-sec 0 cos 0? | A. sec 0 csc 0 +1 B. cot…

A:

Q: Each of the following expressions has a single numerical value for all 0 where the expression is…

A: a) Factor out 36, then use the Pythagorean identity cos^2(theta)+sin^2(theta)=1

Q: . If A<2 sin-1x+ cos¬1x < B then A = -2 B b. A= 0, В — п c. A = -. Зл B = 2 Зл d. A= 0, B = e. None…

A: Given  We know that Also, we know that range of is [-pi/2,pi/2] Therefore,

Q: Which of the following is TRUE? A. 1- sin ? = cos? cos 2 B. 1- cos? 20 = sin² 20 C. 1 – tan? = sec?…

A: