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

Simplify: cos^(2)theta+(1)/(1+cot^(2)theta):

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

(cos^(2)theta-1)(cot^(2)theta+1)+1= ………….. .

(1-cos^(2)theta)(1+cot^(2)theta)= ………. .

The value of (1 - cos^(2) theta) (1 + cot^(2) theta) is ……….. .

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

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

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

(1+tan^(2)theta)/(1+cot^(2)theta)=((1-tan theta)/(1-cot theta))^(2)

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