Prove `sin^2 theta + cos^2 theta=1`

prove that sin^2theta+cos^2theta=1

Prove that sin^(2) theta + cos^(2) theta =1

Prove that sin^(2) theta + cos^(2) theta =1

For any acute angle theta , prove that: (i) sin^(2) theta + cos^(2) theta =1

If tan theta = 3/4 , proved that sin^2 theta+cos^2 theta is 1.

Prove the following identity : cos^4 theta- sin^4 theta= cos^2 theta-sin^2 theta= 2 cos^2 theta-1=1-2 sin^2 theta .

Prove that cos^6 theta+ sin^6 theta= 1-3sin^2 theta cos^2 theta

Prove the identity sin^(2)theta + cos^(2) theta = 1 with the help of given figure .

Prove the identity sin^(2)theta + cos^(2) theta = 1 with the help of given figure .

Prove that : cos2 theta= cos^2 theta-sin^2 theta=1-2 sin^2 theta= 2 cos^2 theta-1 .