(5) If then eAt A = - (2 3). Select the correct answer choice. (a) I cos(t) + A sin(t) (b) I cos(2t) + A sin(2t) (c) I cos(t) - A sin(t) (d) Ie² + Ae²t (e) None of the above

Q: cose = +V(sin?0 - 1) O +V(1 + sin?e) O +V(1 - sin?e)

A:

Q: COS (+3 O cos x Ocos 2x O sin a Ocos z +x) + cos (-) is equivalent to:

A:

Q: Which expression is equal to cos(6t)?

A: Recall:  cos(2t)=cos2(t)-sin2(t)     Given,   cos(6t)

Q: -¹ (cos()) 11. cos-¹

A:

Q: Find sin(a) and cos(3), tan(a) and cot(3), and sec(a) and csc(B). (a) sin(a) and cos(B) X (b) tan(a)…

A:

Q: 10 - The value of x²J₁(x) x³ J(x) dx is. x-0 a) 8 (2) b) 81₁(2) c) 8/₂ (2) d. 8], (2)

A: To express: J4x  in terms of J0x and J1x Bessel's function: Jnx=∑r=0∞-1rx2n+2r1Γn+r+1 r! Series…

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

Q: Value of L is 16 $3+9s 16 O(1 + sin 31) 16 O (1 + cos 3t) 16 (1+ cos 3t) 3 (1 - cos 3t)

A:

Q: y = a sin (x + b) u sin (x + b) -a sin (x + b) O a cos (x + b) O -a cos (x + b)

A:

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

A: (a) We have to express cos2α in terms of cos2α.

Q: 2. (a) (b) Simplify the following expressions. tan(-0) sin(7-8) 1+cos (2+0) cos(+0)

A: The given expressions,(a) (b) .The aim is to simplify the given expressions.

Q: Sin(39)=Cos ( ? )

A: We know, Sin(x) = Cos(90°-x)

Q: If sin-1 (sin π/3) = π/3, is sin-1 (sin 5π/6) = 5π/6? Explain your answer.

A: It is given that sin-1sinπ3=π3.

Q: d 3. Evaluate (r“ + 4° + VT+ 1 + sin(4)). dx

A:

Q: For part b can you please explain how sin(k) would be the same as cos(k)

A: sin(k) and cos(k) are same in sense of there range, since the range of these function is same.…

Q: (1 + cos ?)(1 − cos ?)=sin2 ?

A: TO SHOW 1−cosx1+cosx=sin2x

Q: (co0s(-)) +- (cos(- 1. COS because 6. COS 6.

A:

Q: dx sin² x cos²x 10. The value of f; A sinx-cosx+C B. cos x– sin x+C C. tanx-cotx+C D. cotx-tan x + C

A:

Q: If sin z + cos I 2, then the value of sin" r+ cos" z will be-

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Q: Rewrite the expression cos (0) without using any powers of sin or cos.

A: We have to rewrite the expression cos4( θ) without using the powers of sin or cos .

Q: Please help me answer the question. Thanks!

A: Given,

Q: cos e de sin² 0 + 4 sin 0-5

A: To evaluate the given integral.∫cos θ dθsin2 θ+4 sin θ-5

Q: Suppose that a and ß are in the first quadrant, sin(a) = , and sin(B) = . What is sin(a + B)?

A: cos2α=1-sin2α sinα+β=sinαcosβ+cosαsinβ

Q: Which statement must be true? A cos(A) = sin(A) B cos(A) = sin(B) C cos(A) = cos(B) D sin(A) =…

A: for the right angle triangle, let the angle A=x C=90 for triangle sum of all 3 angles is 180…

Q: 1. sin x csc x 5. cos x (tan x + 1)

A:

Q: 1 what are possible values of cos x and tanx? 2 If sinx= Select one: V3 and tanx= 2 1 a. cosx= V3 V3…

A: Consider the right triangle with one angle x degree. Let a be the length of the adjacent side and b…