Find the value of 1-2sin^(2)theta+sin^...

Find the value of `1-2sin^(2)theta+sin^(4)theta`.

A

`"cosec"^(4) theta`

B

`sec^(4) theta`

C

`sin^(4) theta`

D

`cos^(4) theta`

Verified by Experts

The correct Answer is:

D

`1- 2 sin^(2) theta+sin^(4) theta`
`rArr 1-sin^(2)theta-sin^(2) theta+sin^(4) theta`
`rArr (1-sin^(2) theta)^(2)=(cos^(2) theta)^(2))=cos^(4) theta`

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