Evaluate `(cos^2theta)^3-(sin^2theta)^3`

Evaluate sin^2 theta- cos^2 theta. " If " sqrt3 tan theta = 3 sin theta, theta ne 0 and theta is an acute angle.

Evaluate sin^2 theta - cos^2 theta , if sqrt3 tan theta = 3 sin theta , theta = 0 and theta is an acute angle.

Evaluate int((2 sin theta + sin 2 theta)d theta)/((cos theta-1)sqrt(cos theta + cos^(2) theta + cos^(3) theta)) .

If sqrt(3)sin theta=cos theta, find the value of (3cos^(2)theta+2cos theta)/(3cos theta+2)

If 3cot theta=4, find the value of (4cos theta-sin theta)/(2cos theta+sin theta)

If 3tan theta=4, find the value of (4cos theta-sin theta)/(2cos theta+sin theta)

If 2 cos theta = sqrt(3) evaluate 3 sin theta - 4 sin^(3) theta

Find the maximum and minimum values of cos^(2)theta-6sin theta cos theta+3sin^(2)theta+2

Find the maximum and minimum value of cos^(2) theta- 6 sin theta cos theta + 3 sin^(2) theta + 2 .

If tan theta=(3)/(4), then (4sin^(2)theta-2cos^(2)theta)/(4sin^(2)theta+3cos^(2)theta)