(1+i cos theta)/(1-2i cos theta)

If theta in RR and (1 +i cos theta)/(1-2 i cos theta) is real number, then theta will be (when I : Set of integers)

The real value of theta for which the expression (1 + icos theta)/(1 - 2i cos theta) is real number is

The real value of theta for which the expression (1 + icos theta)/(1 - 2i cos theta) is real number is

Prove each of the following identities : (i) (1+ cos theta)(1- cos theta)(1+ cot^(2) theta)=1 (ii) "cosec" theta (1+ cos theta)("cosec" theta - cot theta)=1

Prove that (i) (1- sin theta)/(1+ sin theta)=(sec theta - tan theta )^(2) (ii) ((1+cos theta))/((1- cos theta))= ("cosec" theta + cot theta)^(2)

Given cot theta =(7)/(8) , then evaluate (i) ((1+sin theta )( 1-sin theta ))/( (1+cos theta )(1-cos theta )) " "(ii) ((1+sin theta ))/( cos theta )

Given cot theta =(7)/(8) , then evaluate (i) ((1+sin theta )( 1-sin theta ))/( (1+cos theta )(1-cos theta )) " "(ii) ((1+sin theta ))/( cos theta )

Given cot theta =(7)/(8) , then evaluate (i) ((1+sin theta )( 1-sin theta ))/( (1+cos theta )(1-cos theta )) " "(ii) ((1+sin theta ))/( cos theta )

If cot theta = 7/8 , evaluate: (i) ((1+sin theta)(1-sin theta))/((1+cos theta) (1-cos theta))