Express it in the form of `costheta` : `(1-sin^2theta)(1+sin^2theta)`

costheta-cos2theta=sin3theta

sin4 theta can be written as (a) 4sin theta(1-2sin^(2)theta)sqrt(1-sin^(2)theta)(b)2sin theta cos theta sin^(2)theta(c)4sin theta-6sin^(3)theta(d) None of the above

Prove that-: cos^4theta/(1-sin^4theta)=(1-sin^2theta)/(1+sin^2theta)

If sectheta=(3)/(2) ,then find value of (2costheta-tan^(2)theta)/(sin^(2)theta+1) .

Prove the following identities: ((1+sin theta)^(2)+(1-sin theta)^(2))/(cos^(2)theta)=2((1+sin^(2)theta)/(1-sin^(2)theta))

If : sin theta= sqrt3*costheta, "then" : 2(sin theta+costheta)-1=

(sintheta+sin2theta)/(1+costheta+cos2theta) =

(sintheta+sin2theta)/(1+costheta+cos2theta)=?