f(omega)=sin(tan((sin theta)/(sqrt(cos alpha)))quad -pi

If f(theta)=sin(tan^(-1)((sin theta)/(sqrt(cos2 theta)))), where -(pi)/(4)

Let f(theta)=sin(tan^(-1)((sin theta)/(sqrt(cos2 theta)))), wher e-(pi)/(4)

Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))) ,w h e r e -pi/4ltthetaltpi /4 then the value of d/ (d(tantheta)) f(theta) is

If f(theta) = sin(tan^(-1)(("sin theta)/(sqrt(cos 2 theta)))) , where -pi/4 lt theta lt pi/4 , then the value of d/(d(tan theta)) f(theta) is

"If "f(theta)=tan (sin^(-1)sqrt((2)/(3+cos 2theta)))," then " fi nd f'(theta) and

Prove that sqrt(1+sin theta)/sqrt(1-sin theta)=sec theta + tan theta ,-(pi)/(2) lt theta lt (pi)/(2)

If tan alpha=(sin theta-cos theta)/(sin theta+cos theta) then sin alpha

If tan(pi/4+theta/2)=tan^3(pi/4+alpha/2) then sin(theta)=(sin(alpha)(3+sin^2(alpha)))/(1+3sin^2(alpha))

Prove that cos theta(sin theta +-sqrt(sin^(2) theta+ sin^(2) alpha)) always lies between +- sqrt(1+sin^(2) alpha) .