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

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

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

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

(6) prove : (i) cos^2 theta + (1)/ (1 + cot^2 theta) = 1

Prove the following trigonometric identities: cos^(2)theta+(1)/(1+cot^(2)theta)=1 (ii) (1)/(1+sin theta)+(1)/(1-sin theta)=2sec^(2)theta

Prove that sin(2theta)/(1-cos2theta)=cot 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 each of the following identities : (tan^(2) theta)/((1+ tan^(2) theta)) + (cot^(2) theta)/((1+ cot^(2) theta)) =1

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