`sin^4theta-cos^4theta=?? if sintheta - costheta=0`

The value of f(pi/6) where f(theta)=|{:(cos^2theta,costhetasintheta,-sintheta),(costhetasintheta,sin^2theta,costheta),(sintheta,-costheta,0):}|

Prove that sin^(3)theta+cos^(3)theta=(sintheta+costheta)(1-sin thetacostheta) .

Prove the following identities: (cos^2theta)/(1-tantheta)+(sin^3theta)/(sintheta-costheta)=1+sinthetacostheta

The value of cos^4theta+sin^4theta-6cos^2theta is (a) cos2theta (b) sin2theta (c) cos4theta (d) none of these

Solve: sin4theta=sintheta

Prove that: 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta+cos^6theta)-13=0.

If cos theta-4sintheta=1, the sintheta+4costheta=

Prove that : (sintheta-costheta)/(sintheta+costheta)+(sintheta+costheta)/(sintheta-costheta)=(2)/(2sin^(2)theta-1)

If cos e c\ theta=(13)/(12) , find the value of (2sintheta-3\ cos\ theta)/(4sintheta-9costheta)

Prove the following identities: (sin^3theta+cos^3theta)/(sintheta+costheta)+sinthetacostheta=1