2(1-2sin^(2)theta)cos4 theta=

2(1-2sin^(2) theta ) cos 4 theta =

sin^(4)theta+cos^(4)theta=1-2sin^(2)theta cos^(2)theta

The value of (1-2 sin^2 theta cos^2 theta )/(sin^4 theta +cos^4 theta )-1 is: (1-2 sin^2 theta cos^2 theta )/(sin^4 theta +cos^4 theta )-1 का मान है :

Prove the following identities: 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta)+1=0sin^(6)theta+cos^(6)theta+3sin^(2)theta cos^(2)theta=1(sin^(8)theta-cos^(8)theta)=(sin^(2)theta-cos^(2)theta)(1-2sin^(2)theta cos^(2)theta)

If P_(n)=cos^(n)theta+sin^(n)theta and Q_(n)=cos^(n)theta-sin^(n)theta then show that p_(n-2)=-sin^(2)theta cos^(2) theta p_(n-4) hence show that p_(4)=1-2 sin^(2) theta cos^(2) theta Q_(4)=cos^(2) theta- sin^(2) theta

sec^(2)theta-(sin^(2)theta-2sin^(4)theta)/(2cos^(4)theta-cos^(2)theta)=1

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

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

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