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The value of 3(cos theta-sin theta)^(4)+...

The value of `3(cos theta-sin theta)^(4)+6(sin theta+cos theta)^(2)+4 sin^(6) theta` is where `theta in ((pi)/(4),(pi)/(2))` (a) `13-4cos^(4) theta` (b) `13-4cos^(6) theta` (c) `13-4cos^(6) theta+ 2 sin^(4) theta cos^(2) theta` (d) `13-4cos^(4) theta+ 2 sin^(4) theta cos^(2) theta`

A

`13-4cos^(6)theta`

B

`13-4cos^(4)theta+2sin^(2)thetacos^(2)theta`

C

`13-4cos^(2)theta+6cos^(4)theta`

D

`13-4cos^(2)theta+6sin^(2)thetacos^(2)theta`

Text Solution

Verified by Experts

The correct Answer is:
A
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