" 3.(i) "sin^(2)theta+(1)/((1+tan^(2)theta))=1

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

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

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

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

Prove the following identities: (1+tan^(2)theta)+(1+1/(tan^(2)theta))=1/(sin^(2)theta-sin^(4)theta)

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

tan theta= A) (sqrt(1-sin^(2)theta))/(sin theta) , B) (1)/(sec theta) , C) (sin theta)/(sqrt(1-sin^(2)theta)) D) (1)/(sqrt(1+Cot^(2)theta)

If theta=30o, verify that: (i) tan2 theta=(2tan theta)/(1-tan^(2)theta)( ii) sin2 theta=(2tan theta)/(1+tan^(2)theta)

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

(2 sin theta * tan theta (1- tan theta ) + 2 sin theta sec^(2) theta )/( (1+ tan theta)^(2))= .......... A) (sin theta)/(1+ tan theta) B) (2 sin theta)/(1+ tan theta) C) (2 sin theta)/((1+ tan theta )^(2)) D) (sin theta)/((1+ tan theta)^(2))