12) cos? 0 = 1

Q: Find  sin?,cos?,???tan?sin⁡θ,cos⁡θ,andtan⁡θ  if  csc?=−2921csc⁡θ=−2921    and  cos θ < 0.

A: Given Cosecθ=2921and we have to calculate the value of sin(θ), cos(θ), tan(θ)

Q: b) cos(-z)=?

A: In the question we have to find the angle of cosine which is lying in third quadrant as cosine is…

Q: 1. . cos N = COS

A:

Q: Simplify sin 37° cos 53º + cos 37° sin 53°. а. 0 b. 1 с. -1 d. 0

A: Given: sin(37ο)cos(53ο)+cos(37ο)sin(53ο)=?

Q: 10. Which among the given numbers satisfies the equation sin 20 - cos 20 = 0? %3D В. 4 C. c. I 8 A.…

A: sin2θ-cos2θ=0

Q: de -1 < B< 1 (1+B cos 0)² '

A:

Q: 150d dns coso 3 COSO * and oc 6 . Derermine coslzo)

A:

Q: 1, Solve for o 0-2T (a) sine 2 W cos 28 = 8- %3D O Zsin e- =o - omis ce)

A:

Q: 4) If sine = 3, and is in Quadrant I, then what is cose?

A: Given: sinθ=35and θ is in first quadrant

Q: 1 + cos 20 57. Show that cos?e = 2

A: Show that the given identity, cos2θ=1+cos2θ2. Addition property:  cosA+B=cosAcosB-sinAsinB

Q: vee 0t5 9518 35 cos (Se) dO 1 t Sinse)) -10

A: Apply substitution method to solve the definite integral.

Q: 12) y = 3 cosx + X

A: we have to locate the graph of the function y=3cos(x+π4) to locate this we will put the values of x…

Q: 6). S sin 20 cos 50 de

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Q: 4. Evaluate et cos xdx.

A:

Q: 15 9. M 12 P.

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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: 8) | cos"x.dx MATHEMATICS-I

A:

Q: Ques tion I a) rimplify the tollowin g expression -1 [cos [ cos' (2n) + fin" cos

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Q: What is 7(cos (pi/2) + i sin (pi/2)) divided by 8 (cos (3pi/4) + i sin (3pi/4)) equal to?

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Q: 7. cos A = QIV %3D sc (4) find C SC

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: d da cos(3) = O-3 sin (3²) O 32.cos(3²) -3.sin(3²).In 3. O sin (3²) O3 cos(32).In 3

A: Given

Q: 16. Establish the identity: os 0)² + (sin 0- cos 0)2 = 2 %3D

A: We need to establish the identity  (sinθ+cosθ)2+(sinθ-cosθ)2=2

Q: -4 b) Given cos 0 = sin? 0 = ? tan? 0 = ? cos (-0) =?

A:

Q: Sc sinx te Cos

A: Given: The integral ∫cos22x sinx dx To evaluate: The given integral.

Q: Find cos o. (8, 6) ? COS O ニ Give your answer in lowest terms.

A:

Q: 6. Show 1 – 8sin?0 · cos²0 = cos(40) 10 pts

A: To show that LHS=RHS

Q: 1. 2 sin 0 cos 0 d0 = sin² 0 - cos? 0 or cos 20. Hint: Use trig identities. or

A: We have to prove the integration: ∫2sinθ cosθ dθ=sin2θ  or -cos2θ or -12cos2θ Proving: ∫2sinθ cosθ…