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If (cos theta+isin theta)(cos 2theta+isi...

If `(cos theta+isin theta)(cos 2theta+isin 2theta)….(cos ntheta+isin ntheta)=1`, then the value of `theta` is

A

`4mpi`

B

`(2mpi)/(n(n+1))`

C

`(4mpi)/(n(n+1))`

D

`(mpi)/(n(n+1))`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If (costheta+isintheta)(cos2theta+isin2theta)…..(cosntheta+isinntheta)=1 , then the value of theta , is

    A
    `4mpi`
    B
    `(2mpi)/(n(n+1))`
    C
    `(4mpi)/(n(n+1))`
    D
    `(mpi)/(n(n+1))`

  • If (cos theta + i sin theta) ( cos 2 theta + i sin 2 theta).... (cosn theta + i sin theta) = 1, then the value of theta is

    A
    `(2 mpi)/(n ( n +1))`
    B
    `4 mpi`
    C
    `( 4 m pi)/( n ( n + 1))`
    D
    `( m pi )/( n( n+1))`

  • The general value of the real angle theta , which satisfies the equation, (cos theta + i sin theta) (cos 2theta + i sin 2theta) ..... (cos ntheta + i sin ntheta) = 1 is given by, (assuming k is an integer)

    A
    `(2kpi)/(n+2)`
    B
    `(4kpi)/(n(n+1))`
    C
    `(4kpi)/(n+1)`
    D
    `(6kpi)/(n(n+1))`

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    If cos theta + cos 2theta + cos 3theta=0 , the general value of theta is :

    If cos theta + cos 2theta + cos 3theta=0 , the general value of theta is :

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

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