given that z=cos theta +isin theta  use de moivres theorem to show that sin n theta = 1/2i ( zn-1/zn ) and cos n theta=1/2 (zn+ 1/zn) hence express sin2thetacos4theta in the form A+Bcos2theta+Ccos4theta+Dcos4theta Where A B C and D are real constants

Q: Show that sin-1 v + cos-1 v = π/2 .

A: Given: sin-1 v+cos-1 v=π2

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A: We have to show that the following results.  For this we can use some trigonometric results

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A:

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A: Topic:- hyperbolic function and complex number

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A: sinsin-1v+cos-1v=1

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A:

Q: Show that V2 + V2 cos 2 and cos 16 and use it to find sin 16 Show that

A:

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A: We need to find the exact value of the given trigonometric ratios.

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A:

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A:

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A:

Q: (sece +tane)(1+sine)de =

A: Evaluate ∫π6π4secθ+tanθ1+sinθdθ

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A: You need to find the values of sine and cosine of from the given value in the question.

Q: Verify the following Identities: 2. 1. (asinx + bcosx) +acos x-bsinx) =a*+b° 2.

A:

Q: Let z=x+iy be a complex number such that coshz =0. Then Im(tanhz) is equal to * sinycosy…

A: first option is correct answer. Thankyou