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

Prove that 1/(1+tan^2theta)+1/(1+cot^2theta) =1

Prove that : sin^(2)theta+(1)/(1+tan^(2)theta)=1

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

simplify (1+tan^(2)theta)+(1+(1)/(tan^(2)theta))

Prove that : (1-tan^(2)theta)/(cot^(2)theta-1)=tan^(2)theta

(i) The points (-1, 0), (4, -2) and (cos 2theta, sin 2 theta) are collinear (ii) The points (-1,0), (4, -2) and ((1-tan^(2)theta)/(1+tan^(2)theta),(2tan theta)/(1+tan^(2)theta)) are collinear

Prove that (sec^(2)theta-1)/(tan^(2)theta)=1

Prove: (1+tan^2theta)/(1+cot^2theta)=((1-tantheta)/(1-cottheta))^2=tan^2theta

Prove the following identity: (tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=(1-2sin^2thetacos^2theta)/(sintheta\ costheta)

Prove: (tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=secthetacos e c\ theta-2sinthetacostheta