Prove that `1/(1+sin^2theta)+1/(1+cos^2theta)+1/(1+sec^2theta)+1/(1+c o s e c^2theta)=2`

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

Prove: (sec^2theta-1)(cos e c^2theta-1)=1

Prove that : (ii) 1/(1+ sin theta)+(1)/ (1-sin theta) = 2sec^2 theta

Prove that (1-sin^(2)theta)sec^(2)theta=1

Prove that-: cos^4theta/(1-sin^4theta)=(1-sin^2theta)/(1+sin^2theta)

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 .

Prove that ((1+sintheta)^2+(1-sintheta)^2)/(2cos^2theta)=(1+sin^2theta)/(1-sin^2theta) .

Prove the following: 1/(1-sin theta) + 1/(1+sintheta) = 2 sec^2theta

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

Prove that (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cottheta