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

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

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

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

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

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

Prove that (1-sin theta+cos theta)^(2)=2(1+cos theta)(1-sin theta)

If ((1+sin theta-cos theta))/((1+sin theta+cos theta))+((1+sin theta+cos theta))/((1+sin theta-cos theta))=4 , then which of the following values will be suitable for theta ? यदि ((1+sin theta-cos theta))/((1+sin theta+cos theta))+((1+sin theta+cos theta))/((1+sin theta-cos theta))=4 है, तो theta के लिए निम्नलिखित में से कौन सा मान उपयुक्त होगा?

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

(1+sin2 theta-cos2 theta)/(1+sin2 theta+cos2 theta)=tan theta

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