If `sintheta+sin^2theta=1,` then prove that `cos^(12)theta+3cos^(10) theta+3cos^8theta+cos^6theta-1=0`

If sintheta+sin^2theta=1, then prove that cos^(12)theta+3cos^10theta+3cos^8theta+cos^6theta+2cos^4theta+2cos^2theta-2=1

If sintheta + sin^(2)theta = 1 , prove that cos^(2)theta + cos^(4)theta = 1

If tan^(4)theta +tan^(2) theta = 1 , then the value of cos^(4)theta +cos^(2)theta is-

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

If sin^(100) theta - cos^(100) theta =1 , then theta is

Show that (1)/( cos theta ) -cos theta =tan theta .sin theta

If costheta + sin theta = sqrt2 cos theta , prove that cos theta - sin theta = sqrt2 sin theta .

Show that (cosec theta -cot theta )^(2) =(1-cos theta )/( 1+cos theta )

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .