Which of the following sentences are statements?
`sin^2theta + cos^2 theta = 1` for all `theta in R`.

sin^2theta+cos^2theta=1 .

Solve the following trigonometric equation : sin 2 theta + cos theta = 0 .

Prove the following identity : sin theta cot theta+ sin theta cosec theta=1 + cos theta .

Solve the following trigonometric equation : sin theta + cos theta = sqrt2 .

Find sin 2 theta when sin theta + cos theta= 1 .

If A = sin^2 theta+ cos^4 theta , then for all real values of theta

Stare whether the Following is true or false. Justify your answer:- sin theta=cos theta for all values of theta .

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

Prove the following identity : sin^6 theta+ cos^6 theta= 1-3 sin^2 theta cos^2 theta .