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For any theta in (pi//4, pi//2), the exp...

For any `theta in (pi//4, pi//2)`, the expression `3(sin theta-cos theta)^(4)+6(sin theta+cos theta)^(2)+4sin^(6)theta` equals

A

`13-4cos^(6)theta`

B

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

C

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

D

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

Text Solution

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a
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