" (b) "cosec theta=1+cot theta

(cot theta + "cosec" theta -1)/( cot theta - "cosec" theta +1) is

Prove that: ("cosec" theta + cot theta)/("cosec" theta - cot theta) = ("cosec" theta + cot theta )^(2) = 1 + 2 cot^(2) theta + 2 "cosec" theta cot theta .

The value of (1+ cot theta + "cosec"theta) (1+ cot theta - "cosec"theta) is:

If x=a("cosec" theta + cot theta ) , y=b( " cosec " theta - cot theta ) , then

prove that 1/(cosec theta-cot theta) - 1/(sin theta) = 1/sin theta - (1)/(cosec theta + cot theta)

( sec theta + tan theta )/("cosec " theta + cot theta ) -(sec theta - tan theta )/( " cosec" theta - cot theta )=

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

Find cos theta, if 6 cot theta+2 "cosec" theta= cot theta+5 "cosec" theta .

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

(cot theta + " cosec " theta -1)/(cot theta - " cosec " theta +1) =