सिद्ध करे की `(sin theta + cos theta)(1-sin theta. cos theta)=sin^(3) theta + cos^(3) theta`

If (sin theta+cos theta)/(sin theta-cos theta)=3 then sin^4 theta-cos^4 theta=

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

(sin 3theta)/(sin theta)-(cos 3theta)/(cos theta)=

(sin3 theta+cos3 theta)/(cos theta-sin theta)=1+2xx sin2 theta

( cos 3 theta - sin 3 theta )/( cos theta+ sin theta ) =

Simplify: (sin^(3) theta + cos^(3) theta)/(sin theta + cos theta) + sin theta cos theta

Prove that : (1-sin theta cos theta)/ (cos theta (sec theta - cosec theta)) times (sin^2 theta - cos^2 theta)/(sin^3 theta + cos^3 theta) = sin theta

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

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

3. sin^(3)theta+cos^(3)theta=(sin theta+cos theta)(1-sin theta cos theta)