If `sin theta=1/2` then prove that `3sin theta-4sin^3 theta=1`

If 2 cos theta = sqrt3. prove that : 3 sin theta - 4 sin ^(3) theta =1

If x=(2sin theta)/(1+cos theta+sin theta), then prove that (1-cos theta+sin theta)/(1+sin theta) is equal to x

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

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

If theta=30° , show that 3sin theta- 4sin^3 theta= sin theta cos2 theta + costheta sin 2theta .

If sin theta+ sin^2 theta = 1 , prove that cos^2 theta+ cos^4 theta = 1 .

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

If 1+sin^(2)theta=3sin theta cos theta, then prove that tan theta=1 ot tan theta=(1)/(2)

If 1+sin^(2)theta=3sin theta cos theta, then prove that tan theta=1 or tan theta=(1)/(2)

If 1+sin^(2)theta=3sin theta cos theta, then prove that tan theta=1 or tan theta=(1)/(2)