If `S=1+sin^(2)theta+sin^(4)theta+...oo,` then the value of `S` is

If sin^2 theta=1/4 , then the value of theta is

If sin^(2)theta-cos^(2)theta=(1)/(4) , then the value of (sin^(4)theta-cos^(4)theta) is :

If sin^(2)theta=(1)/(4), then the value of theta is

If cos^(4)theta-sin^(4)theta=(2)/(3) , then the value of 1-2sin^(2)theta is

If sin^(4)theta-cos^(4)theta=k^(4) , then the value of sin^(2)theta-cos^(2)theta is

If |[1+sin^(2)theta,cos^(2)theta,4sin4theta],[sin^(2)theta, 1+cos^(2)theta,4sin4theta],[sin^(2)theta,cos^(2)theta, 1+4sin4theta]|=0 , then the value of theta is

If cos^4 theta - sin^4 theta = 2/3 , then the value of (1 - 2 sin^2 theta) is___