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The value of (sintheta+i cos theta)^n is...

The value of `(sintheta+i cos theta)^n` is (A) `sin n theta+i cos ntheta` (B) `cos ntheta-i sin n theta` (C) `cos ((npi)/2- ntheta)+is sin ((npi)/2- ntheta)` (D) none of these

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Knowledge Check

  • If ((1 + cos theta + i sin theta ) /(i+ sin theta + i cos theta ))= cos ntheta + i sin n theta then n is equal to :

    A
    2
    B
    4
    C
    6
    D
    8

  • If [(1 + cos theta + i sin theta)/( sin theta + i (1 + cos theta))] ^(4) = cos n theta + i sin n theta , then n =

    A
    2
    B
    3
    C
    4
    D
    none

  • 8 sin theta * cos theta * cos 2 theta * cos 4 theta = A) sin 4 theta B) sin 8 theta C) sin 16 theta D) cos 8 theta

    A
    `sin 4 theta`
    B
    ` sin 8 theta`
    C
    `sin 16 theta`
    D
    `cos 8 theta`

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