Show that (cos 0 + i sin 0)" = cos n0 + i sinne for n = 3 and n = 4.

Q: Find 10. cos°0 do

A: Given:  Let I=∫0π cos6 θ dθ To Find: To evaluate the given integral.

Q: Find sin o

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Q: Show that A" cos (ах ah + b) = | 2 sin cos a + bx +n (ah + T 2

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Q: Evaluate sin (3x) cos (6x) dx Select one: cos(9r) A cos(3r) tC 18

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Q: Find sin 0 3. 4

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Q: cos y` +y = tanck) %3D

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Q: (1+Sin O+COs02=a(+Sin0)+cose)

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Q: Show that os (2 tan~ r) COs

A: We have to prove that cos(2tan-1x)=1-x21+x2.

Q: sin' t – cos' t Prove tan?t – 1 cos? t

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Q: 9. Solve the equation for x if 0 < x < 27. 2 cos x + tan x - sec x = 0 VI

A: The correct option is option A. Use the trigonometric ratios and identities to rearrange the given…

Q: Find sin a. (-/5 ,2) [ ?] 1

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

A: Explanation of the solution is given below..

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

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Q: If x + = 2 cose X then show that 1 = 2 cos 20 X* + X

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Q: ( co*2)° + (sinz)* = x). COs x a concrete number ).

A: As this is the Standard Definition of Trigonometric Identities, that,

Q: is it right to say cos (60o-30o) = cos60o .cos 30o+ sin60o.sin30o?

A: cos(A-B)=cosA.cosB+sinA.sinB