" 13."(1+tan^(2)theta)(1+cot^(2)theta)=(1)/((sin^(2)theta-sin^(4)theta))

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

(1+(1)/(tan^(2)theta))(1+(1)/(cot^(2)theta))=(1)/(sin^(2)theta-sin^(4)theta)

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

If 3cot theta=4 then show that (1-tan^(2)theta)/(1+tan^(2)theta)=(cos^(2)theta-sin^(2)theta)

If 1/(sin^(2)theta)-1/(cos^(2) theta)-1/(tan^(2)theta)-1/(cot^(2)theta)-1/(sec^(2)theta)-1/(cosec^(2)theta)=-3 then find the value of theta .

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

Cosider the following : 1. tan ^(2) theta - sin ^(2) theta = tan ^(2) theta sin ^(2) theta 2. (cosec theta - sin theta ) (sec theta - cos theta ) (tan theta + cot theta ) =1 Which of the above is/are correct ?

Prove that (1+ tan^4 theta)/(1+ tan^2 theta) = sec ^2 theta-2 sin^2theta

Write the value of sin^(2)theta cos^(2)theta(1+tan^(2)theta)(1+cot^(2)theta).

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