Given f (t) = t^2 and g ( t) = sin 2t, obtain the convolution (f * g). -ea* -1- cos21) -er -1- cos 2) O A.) O B.) er-1-cos20) (2r -1+ cos 20) rto C.) O D.)

Q: Show that A" cos (ах ah + b) = | 2 sin cos a + bx +n (ah + T 2

A:

Q: Evaluate f sin(5/z) -dr Select one: a. 금cos(5/z) + C b. 5 cos(5/a) + C – cos(5/x) + C C. d. cos(5/2)…

A:

Q: Show that T (1-i) cos- +isin- 40 40 (81-8√3) 6 10 = -√2

A:

Q: Evaluate: 2x +tan 2x 1/3 COS ,2 1+x? 1-x2 dx. e* +1 -1/3

A:

Q: -Prove the following identities. b- Cos x+sin2x/(1+cosx) = 1

A:

Q: Let a be a constant, Evaluate[ (a* + x² + a) sin(3z") + 15z*)dzr.

A:

Q: 5 sin Od0 = -5(cos x – 1). Select one: O True O False

A:

Q: L(2 cos? t} 2) 2(s-2) b) s(s2 +4) 2(s-2) c) s(s? -4) 2(s + 2) d) 4)

A: Evaluation of L2cos2t we know by trigonometry  cos2t=2cos2t-1cos2t=cos2t+12

Q: trig substitution

A:

Q: c) √2 cos²x - COS X = 0 =

A: ​2​cos2x−cosx=0cosx(2​cosx−1)=0Case 1:cosx=0cosx=0⟹x=2π​,23π​,...Case…

Q: sin x+3 cosr dx. Determine the following rational function 1+cosx

A: We have to first do partial fraction of the given expression.

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

A:

Q: Assume a is positive, find cos(tan-) (show your work)

A: Given, x is positive To find cos(tan-1x)

Q: If sin 0 + cose =p and sec 0 + cosece = q,show that q (,? – 1) = 2p

A:

Q: Verify the identity : cos(α - β)/(cos α .sin β) = tan α + cot β

A: Given : cosα - βcosα sinβ = tanα + cotβ

Q: What is the equivalent expression of 1+008 (2) + 1–008 (2) a) 2 csc²(z) Ob) 2 cos² (1) O c) sec²(x)…

A:

Q: Show that cos + i) =:IG + e) + iv3 - e) 4

A:

Q: Simplify tan(A+ arcsin?). O (2V13)/13 (3 V5)/5 (2 V5)/5

A: Given query is to simplify the expression.

Q: (s + 1)² + 4 , Select one: O True O False

A: According to our company answering guidelines i can only answer one question if multiple question…

Q: Cos ax COs ax Q: Prove that dx = ze", a 2 0.(or) Evaluate x² +1 x² +1

A:

Q: Exercise 2.2.2 1. Cos [ sin- (22) ] 2. 2sin [ csc 3 Cet [sin- (특)+ tan' ()] 3.

A: Note: As per our guidelines, we are supposed to solve only first question. Kindly, Repost other…

Q: Express as a sum.(sin ax)(cos bx)

A: Given : (sin ax)(cos bx)