If `sin theta- cos theta=0` then show that `sin^4 theta+cos^4 theta=1/2`

If sin theta + cos theta = a " then " sin^(4) theta + cos^(4) theta =

If sin theta+cos theta=a then sin ^(4) theta+cos ^(4) theta=

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

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

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

If sin theta+cos theta=a, then sin^(4)theta+cos^(4)theta=

If 3sin theta =2 cos theta , then (4sin theta - cos theta)/(4cos theta+sin theta) is equal to :

If sin theta + sin^(2) theta =1 then cos^(4) theta + cos^(8) theta + 2 cos^(6) theta =

If f(theta)=|(cos^(2) theta, cos theta sin theta, -sin theta),(cos theta sin theta, sin^(2) theta, cos theta),(sin theta, -cos theta, 0)| then f((pi)/12)=