Differentiate y = In (sin + cos ) cos -sin 2r Va(sin a + cos V") sin E + cos E 2r V(sin a + cos a) Option 3 Option 4 sin + cos E 2/(sin Va+ cos None of these Option 1 cos - sin E 2Va(sin Va+ coS

Q: 10. Show that 2" + 42' + 8z = 0 if z = e-2=(sin 2x + cos 2x).

A:

Q: -5 sinx dx I = =? ecosx +3e-cosx ) +c COSX a) arctan 3 cosx b) arctan + C

A: To find ∫-5sinxecosx+3e-cosxdx

Q: What is the particular solution of the function 3e" sin 5x – cos 5x? A cos 5æ + Bsin 5x + C'e" cos…

A:

Q: Please explain the different appearances of the answers

A:

Q: Differentiate: y = sinh° (sin 5x) Oy' = 15 cos 5x sinh (sin 5x) cosh(sin 5x) Oy' = –15 sin 5x sinh?…

A: dsinh (ax)dx=a cosh (ax) dsin(ax)dx=a.cos(ax)

Q: Evaluate cos x + 2 cos x +1 dx sin' x sin x 主x+c sin 主tC 3 sin x cos x COS X + x +c cos xsin X 3 COs…

A:

Q: 06 Express cos 0 in terms of multiple angles. O (cos50 + cos30 + cos0)/16 O (cos50 + cos30 + cos0)/8…

A: Please find attachment for the details solution

Q: Eliminate 0 from the equations : (i) x = h + a cos 0, y = k + b sin 0 (ii) x = a ser³ 0, y = b cot³…

A: Solution is given: Hope the solution is helpful.

Q: tan x-7 3. Differentiate. y = secx Select the correct answer. dy bl dx a) = 7 cos x + sin x = cos x…

A: Note that derivative of sinx is cosx and derivative of cosx is -sinx

Q: 1.secB-cosB = tanB sin B 2.cotAcosA + sin A= cscA

A:

Q: +sin 0 1-sin 0 4 tan 0 sec 0 -sin 0 1+sin 0

A: Given query is to prove using identities of trigonometric functions.

Q: V3 Tan" (-V3) Cos"(-1) 3. Sin 2 1. 2.

A:

Q: Yp = A1 cos V2t + A2 sin V 2t Which of the following is Yp'? sin v2t A1 V2 Cos /2t A2 V2 O V2A1 sin…

A: Please see the explanation below

Q: how to find cos z using, cos^2x +cos^2 y+ cos^2 z=1     where x = 45deg  and y = 60deg

A:

Q: Cos z+1 cos 2 1 + sec x =

A: Use simple trigonometry relation.

Q: 2. (a) Show that V3 cos x-sin x COS where 0<x<2r . 2 (b) Using the result in (a), solve the equation…

A:

Q: If, Sec t-1/sec t +1 = A-cos t/A+cos t Then A =

A:

Q: sinxcos ydx + cos²xdy=0

A:

Q: az then x ax az If z = tan tan-1 +y ду

A:

Q: (b) If t= tan- , express 0 2' sin 0+ sin 1+cos $2/20 + cos in terms of t.

A:

Q: Find y" if y = 5x sin x. O A. y" =5 cos x- 10x sin x O B. y"= - 5x sin x OC. y"= - 10 cos x+ 5x sin…

A: Solution: The objective is to find the double derivative of the given function

Q: 25. Prove the following identities. Use proper form and show one step per line. tan (1-x) a) tan =…

A:

Q: Why is V /5+ 5 tan² 0 = v5 sec² 0? Because Vtan 0 = sec 0 Because 1+ tan² 0 = sec² 0. • Because sec?…

A:

Q: If A = A-¹ = 2e4t sin(2t) -2est cos(2t) -4e4t cos(2t) -4est sin(2t) 1/(2e^(4t) sin(2t)) then

A: