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The value of (cos2 theta + i sin 2 theta...

The value of `(cos2 theta + i sin 2 theta)^5(sin theta+i cos theta)^4` is

A

`cos10 theta+i sin 10 theta`

B

`cos6 theta-i sin6theta`

C

`cos6 theta+i sin6 theta`

D

`cos 10 theta-i sin 10 theta`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The inverse of A=[( cos theta, sin theta),(-sin theta, cos theta)] is

    A
    A
    B
    `-A`
    C
    `A^(T)`
    D
    `-A^(T)`

  • 4 sin 5 theta cos 3 theta sin 2 theta

    A
    `1+ cos 4 theta + cos 6 theta -cos 10 theta `
    B
    `1- cos 4 theta + cos 6 theta - cos 10 theta `
    C
    `1- cos 4 theta + cos 6 theta + cos 10 theta `
    D
    `1+ cos 4 theta + cos 6 theta + cos 10 theta `

  • (cos theta + sin theta )^(2) + (cos theta - sin theta )^(2) =

    A
    0
    B
    1
    C
    2
    D
    `sqrt(2)`

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