" 17.Prove that "2cos^(2)theta+(2)/((1+cot^(2)theta))=2

Prove that cos^(2)theta("cosec"^(2)theta-cot^(2)theta)=cos^(2)theta .

(1 - cos^(2)theta)cot^(2)theta

(1 - cos^(2)theta)cot^(2)theta

Prove cos ec^(2)theta=1+cot^(2)theta

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

Prove that sin(2theta)/(1-cos2theta)=cot theta

Prove each of the following identities : (tan^(2) theta)/((1+ tan^(2) theta)) + (cot^(2) theta)/((1+ cot^(2) theta)) =1

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

Prove that (1+cos theta)/(sin theta)=cot[(theta)/(2)]

Prove that cos^2theta+cos^2thetacot^2theta=cot^2theta