`sin^6theta+cos^6theta+ 3sin^2theta cos^2theta\ \ ` for all `theta` is equal to

2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) is equal to

If x sin^(3)theta + y cos^(3)theta = sintheta costheta and x sin theta = y cos theta , prove that x^(2) + y^(2) = 1.

2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1 is equal to a. 0 b.1 c.-2 d. none of these

(sin 5theta+ sin 2theta- sin theta)/(cos5theta+2cos3theta+2cos^2theta+costheta) is equal to

sin^(4) theta + cos ^(4) theta + 2sin^(2) theta cos ^(2) theta has value 1.

Prove that 2 (sin^(6)theta +cos^(6) theta ) - 3(sin^(4)theta +cos^(4) theta ) + 1 = 0

If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ) , then sin theta + cos theta is equal to

If sintheta+cosectheta=2 , then sin^(2)theta+cosec^(2)theta is equal to

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

The maximum value of the expression 1/(sin^2 theta + 3 sin theta cos theta + 5cos^2 theta) is