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

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

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

prove that (cos theta)/(1-sin theta)+(cos theta)/(1+sin theta)=(2)/(cos theta)

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

(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) = sec theta + tan theta

(1 + sin theta-cos theta) / (1 + sin theta + cos theta) = (tan theta) / (2)

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

The value of ((sin theta -cos theta )(1+tan theta + cot theta ))/(1+sin theta cos theta ) = ?