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

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

A

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

B

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

C

`13-4 cos^(6) theta`

D

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

Verified by Experts

The correct Answer is:

C

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