" (2) "f(x)=(x)/(sin(x))+((1-tan theta)/(1-cot theta))^(2)=sec^(2)theta

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)

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

(tan theta)/((1+tan^(2)theta)^(2))+(cot theta)/((1+cot^(2)theta)^(2))=sin theta cos theta

Prove that: (sin theta-cos ec theta)^(2)+(cos theta-sec theta)^(2)=cot^(2)theta+tan^(2)theta-1

If 1/(sin^(2)theta)-1/(cos^(2) theta)-1/(tan^(2)theta)-1/(cot^(2)theta)-1/(sec^(2)theta)-1/(cosec^(2)theta)=-3 then find the value of theta .

The value of (sec^2 theta(2+tan^2 theta +cot^2 theta) div (sin^2 theta-tan^2 theta))/((cosec^2 theta+sec^2 theta)(1+ cot^2 theta)^2) is: (sec^2 theta(2+tan^2 theta +cot^2 theta) div (sin^2 theta-tan^2 theta))/((cosec^2 theta+sec^2 theta)(1+ cot^2 theta)^2) का मान ज्ञात कीजिए?

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

(2 sin theta * tan theta (1- tan theta ) + 2 sin theta sec^(2) theta )/( (1+ tan theta)^(2))=

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

Prove that (tan^(3)theta)/(1+tan^(2)theta)+(cot^(3)theta)/(1+cot^(2)theta)=sec theta cos ec theta-2sin theta cos theta