2) Show that: cos (0) sin (0) (6) (5) - (² Xp = Yp sin cos (0) a))) ||rp|| cos (0 - a) -||rp|| sin (0-a) P' (Xp'Yp') Ө X Ja Qa) 17 || sin(a) r Y|rp|cos(a) P (XpYp)

Q: sin* (t) – cos*(t) – cos²(t) = 1 sin²(t)

A:

Q: Scos x vsin x dx (sin x)i-(sinx) +C (sin x)i +(sinx)+c c. (sinx)- (sinx) + C (sinx)i +(sinx)+c A. B.…

A: ∫cos3xsinxdx

Q: (b) S tan3 x sec² x dx c) S sin³x cos5 x dx

A: The explanation of the solution is :

Q: O t-sin(t)

A: the answer is t-sin(t)  provided the solution below with steps in step2

Q: Prove the following trigonometric identities. 1 cotx a) 6 cosx| 6 cosx = 6sin² x COSX CSCX

A: The details solution is given below

Q: sin( 2 cos (x/ 20 )) = Select one: O 2x (400 - x )°/(400 - 2x) O 40 x/ (400 + x) O ( 2x - 400 ) /…

A:

Q: 1 |Leax sin(bx)] eax [a sin(bx) – b cos(bx)]+ C * Using the formula dx = ах a² + b². Sie [e-8x…

A:

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

A:

Q: (cos A + sin A)/(cos A - sin A) = (1+ sin(2A))/ cos(2A)

A:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: 2) Show that: cos (0) sin (0) – sin B (6)) (*) = ( cos( 2 ||7p|| cos (0 - a) -|||| sin (0-a), -as))

A: PROOF IS MENTIONED CLEARLY IN THE EXPLANATION BOX.Explanation:

Q: Evaluate sin (ax) (ax) V3 (2ах) da Cos

A:

Q: Differentiate y with respect to a y cos²(a) + y sin²(a) = (cos(a)+37)² Select one: O a. y' =…

A: ycos2a+ysin2a=cosa+372

Q: d dx x= ||

A: Given that

Q: a sin (cos X) b cos (cos x) c sin (sin x) d cos (sin x) a By expressingy = x in the form y = sin…

A:

Q: Can you express cos(7x) in terms of powers of cos(7x) Start from: cos(7x) = cos(7x) + i * sin(7x)

A: Note:There is a typo error in the question, it should be powers of cos(x) not cos(7x).Given…

Q: (2 cos x + 7 sin x) dx

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

Q: tan(x) – cos²(x) dx Evaluate: cos(x) A sec(x) -sin (х) +с B B sec(x) + sin(x) + C © sin(x) – sec(x)…

A: We can find the integration as below

Q: (1+siny)[1+sin(-y)]=cos2y

A: Given:

Q: a) f(x) = x-2 cos²(2x³) b) f(t) (sect + tan t)5 sec(20) c) y = 1+tan(20)

A: part(a):

Q: cos( 2 tan1 (x/ 4)) = Select one: O 2x ( 16 - x2 )0.5 / ( 2x2 - 16 ) O 2x ( 16 - x2 )0.5/ ( 16 - 2x2…

A: Solution:-.

Q: Let F = (cos(5t), sin(3t) , 5t“) and G = (t cos(5t), cos(5t), Find F +G = (5t^4)+sin(3t)+t^4(C

A: