`sin^-1 theta + cos^-1 theta=?`.

Simplify sqrt(1- sin^2theta ) + (1 cos^2theta)

1- (sin ^ (2) theta) / (1 + cos theta) + (1 + cos theta) / (sin theta) - (sin theta) / (1-cos theta) - (1) / (sec theta)

(1 + sin theta) / (1 + cos theta) + (1-sin theta) / (1-cos theta) =

(1 + sin theta-cos theta) / (1 + sin theta + cos theta) =

frac(sin theta )(1 + cos theta) + frac(1 + cos theta)(sin theta) ?

Prove each of the following identities : (sin theta)/((1+ cos theta)) + ((1+ cos theta))/(sin theta) = 2 "cosec" theta

Prove that (sin theta - cos theta +1)/(sin theta + cos theta -1) = (1)/((sec theta - tan theta)).

(sin theta-cos theta + 1) / (sin theta + cos theta-1) = (1) / (sec theta-tan theta)