a) Sinh 3t cos't

Q: 4. Establish the identity: sec ar - secr sin2 = cos LIC HS O6Y

A: Establish the identity

Q: 1 - cos 2x if y = prove 1 + cos x y' = 2tanx.sec²x

A:

Q: 7. Prove that: (3) (a) (4) (b) sin20 cos20-1 in (-0) + cos (- 0) = cost -cote =

A:

Q: Q1/ Show that 3(sinx-cosx)*+6(sinx + cosx)²+4 (sinºx+cos°x) = 13

A: Note: We are entitled to solve only one question at a time. To Show:…

Q: 7. Show that sin E + x) = G+x): = -cosx.

A: Introduction :

Q: s nip

A: Given z=tanα2

Q: ) Prove that 2+sinZA Cos A-SinA

A: To Prove: cos3A-sin3AcosA-sinA=2+sin2A2

Q: Prove the trigometr 1-Cos (o) Secco) I +seclo) Sina co)

A:

Q: 9. [cos° { xsin’ } xdx

A: The objective of the question is evaluate the indefinite integral.

Q: 12 "2 If Y= \n(Sinae), Prove y =y=- ノ

A: Here, the given function is: y=ln(sin x) So, y'=1sin x(cos x)=tanxy''=ddx(y')=ddx(tan x)=sec2x

Q: 2. Express sin40 and cos40 in terms of powers of sin 0 and cos e only, respectively.

A:

Q: 1. If z = sin2+In^, find the value of x- +y X

A:

Q: Show that Cosx dx 9- Sin 3D

A:

Q: السؤال 4 lun cos (플ev)-

A: We have to choose the correct answer

Q: 2 cos(5x) – 5 x² – 2 lim sin(3x) – x² – 3x - - (Write your answer in the given box)

A: We will use L'Hopital rule

Q: E prove that - Cotx + C %3D 2 |- Cos?x +Sinx

A:

Q: 5. If coshx = csc20, prove that 0 = n+ cothe¬x. [Hint: use identity sin(2a + 2n)]

A:

Q: prove that. sinh ciz) = i sinz sinciz) zisinh z , cescia)= coshz

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Find the first 3 Zerms o Sinx et a =?

A:

Q: If tanh(x)=5/13, what is the sinh(x)?

A: Answer is sinhx=5/12. Explanation is given below..

Q: Compute : exp(i sin(e-i))

A:

Q: 46 a Show that cos x+ =-sinx. = -sinx. d" (cosx) = cosx + drn b Prove that

A:

Q: Show that the equation 2x + cos(x) = 1 has exactly one root. (IVT and Rolle's Theorem)

A:

Q: Evaluate the in tegrol : S sin 5x cog3 5xdx

A:

Q: Suppose that π≤θ≤3π/2, tan(θ)=6/12, find sin(θ)=______. (round to 3 decimal places)

A:

Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

A:

Q: sin(2r) cos(2x) +1 2. Prove: csc(2x) + cot(2r). %3D COS

A:

Q: 35. Use property IV of Appendix A to verify that 1 L'{arctan(a/s)} =sin at

A:

Q: Prove (Start either from the LHS or the RHS but DO NOT work from both sides at the same time) 1.…

A: sin2x=1-cos2x and,  tanx= sin(x)/cos(x)

Q: Prove that: sinhx + coshx = e* %3D

A: we have  sinh(x)=ex-e-x2cosh(x)=ex+e-x2

Q: 15. integral sin 4x cos 4xdx

A:

Q: 2 , 1 + sinx +. D. cosx cosx il + sin.x

A:

Q: Suppose that sin(θ)=2/6. What sec(θ)=______.

A: As we know that; The trigonometric ratios;…

Q: 5) prove that = sin 'x +e using method of trigonometric substitution.

A: To Prove- Prove that ∫dx1 - x2 = sin-1x + c using method of trigonometric substitution.

Q: 9 Prove Sen 4t 4 cos3t sint-sin3t cos t.

A:

Q: 12. sin 2t – tan t = tant cos 2t - HINT: You will use a reciprocal identity.

A: use the formula

Q: Show that cos(arcsinx) Vi - x², for x| s lin two different ways.

A: Show that cosarcsin(x)=1-x2, for x≤1

Q: e). Prove that Sin3A+sinA 25in2A -COSA

A:

Q: 3. у %3D tan1(sinh 2x) Зсosh-1 (csc) 4. у %3 CSC

A:

Q: cost+cos4t+cos7t / sint+sin4t+sin7t = cot4t

A: SOLUTION-

Q: COS ZIT 12 sin 5TT- CoS 5TT. s'in 12 el

A:

Q: Suppose that π/2≤θ≤π, sin(θ)=2/10, find tan(θ)=______. (round to 3 decimal places)

A: Given:-sinθ=210π/2≤θ≤π

Q: do 6) I cos° 0 7 [(1- sin° 31)- cos3t dt 8) | tan (5x)· sec (5x) dx

A: Since you have posted multiple questions we solve first question for you  To get the solution of…

Q: E prove that - Cotx + C 2 |- Cosx +Sinx

A: Solve the integration

Q: 14) Show that Cos e= 1- Sino COs o : |-Sinie

A: Given, cos2θ = 1-sin2θ We have to show that.

Q: Suppose that π≤θ≤3π/2, tan(θ)=10/7, find sin(θ)=______. (round to 3 decimal places)

A: The given problem is solved below details.

Q: 5. sin'(21) cos°(21) dt

A:

Q: 7. Prove that: ++) + sin; + e) = v3cose (3) (a) COS

A:

Q: If sinx = siny = a and cosx = cosy = b,then cos(x-y) is

A: