(sec^(2)theta-1)cot^(2)theta=1

Find the value of (sec^(2)theta-1).cot^(2)theta

Statement 1: tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3)=11 . Statement -2 :tan^(2)theta+sec^(2)theta=1=cot^(2)theta+cosec^(2)theta

Statement 1: tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3)=11 . Statement -2 :tan^(2)theta+sec^(2)theta=1=cot^(2)theta+cosec^(2)theta

The value of cosec ^(2) theta cot ^(2) theta - sec ^(2) theta tan ^(2) theta -(cot ^(2) theta- tan ^(2) theta) (sec ^(2) theta cosec ^(2) theta -1) is-

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

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

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 .

Fill in the blanks : The value of ((4)/( sec^(2)theta)+(1)/(1+cot^(2)theta)+3sin^(2)theta) is ____________ .

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

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