Sam) sin |cos dx O32 coss 35 -5cos? + C 32 cos 32 cos + C 4 7 5 32 cos 35 5sin? +2+ C O 32 7( x), 32 5( x).

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

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

Q: 2) DISCUSS The Contmuyo f Sin TX %3D

A:

Q: sin (+) can be expanded to: π TT O sin COS sin sin 4 7 TT O sin sin COS cos 4 T Osin COS + cos sin…

A: Solved below.

Q: C. If sin A+ sin2 A = 1 and a cos12A +b cos® A+ c cos A - 1 = 0 then b + - + b =? %3D %3D

A: Topic = Trigonometry

Q: 5TT 2. Cos 6. 2п Cos 3 + sin sin 6 - - - 3 一。

A:

Q: Find :L[cos h 5t sin 2t ] 25 2 [(s² – 25)( s² + 4). (s - 5)? +4 O A.) О в) 1 1 1 (s - 5)? +4 (s +…

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: Simplified form of * cos² 0 + cos²(90° – 0) + cos 0 2 1+ cos 0, cos 2 2 Option 1 Option 2 cos? 0 +…

A:

Q: Is cos (A+b)=cos A + cos(b)? Explain

A:

Q: 4 sin 0 1 – 3 cos 0

A: Using Pythagorean identity we write the equation with sin, then solve for sin theta.

Q: 2 cos 0 d 1 - sin A

A: We can find the integration as below.

Q: QUESTION 2 Je" cos(5x)dx = 7x O A. (7 cos 5x + 5 sin 5x) + C 24 O B. (7 cos 5x – 5 sin 5x) + C 74 e7…

A: Please see the explanation below

Q: Sin e + cos 0 sin g-cos 0 sing +cose sing- cos e 1-cos?0 1.

A:

Q: s 4

A: To simplify (cos 3x)(cos x)-(sin 3x)(sin x)

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

A:

Q: Show that sin² 0 cos² 0 8 1 cos (40). 8

A: To show that: sin2θcos2θ=18-18cos(4θ) Solution: We know: 2sinxcosx=sin(2x)    ..(1)cos(2x)=1-2sin2x…

Q: Part 3 of 4 COS X d —CSC X + С dx To check for the result, prove that 1 - cos?x

A:

Q: + jsin 12 12 .2 +jsin - Simplify 3 cos cos

A:

Q: e csc 20 In (ecos 2 ) Ince cos CoS 20 28) Sin2 20 OP

A: Given integral is ∫ecsc2θlnecos2θsin22θdθ since lnex=x, so lnecos2θ=cos2θ The integral becomes…

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: Show the solution for  (1 + cos A) (1 - cos A)

A: Explanation of the solution is given below..

Q: -5 cos 2B cos 6B -5 cos 4B + 5 sin 8B -5 cos 8B – 5 sin 4B 2 2 -5 cos 4B – 5 sin 8B -5 cos 4B – 5…

A: Solve : -5cos2Bcos6B Use formula = [cos(a-b)+cos(a+b)]/2

Q: Verify the identity (sin θ + cos θ)2 + (sin θ - cos θ)2 = 2.

A:

Q: tan(C + A)tan(C – A)tan(B+ D) = tan(D – B)

A:

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

A:

Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

A:

Q: 7) (*x* cos xdx frese" – nde 8) xcsc 4

A: