Question

(cosec^2theta -1)tan ^2 theta​

Answer 1

Step-by-step explanation:

We know,1 + cot^2theta = cosec^2theta

=> cosec^2theta - 1 = cot^2theta -> eq1.(cosec^2theta - 1)tan^2theta = ?

Put value of cosec^2theta - 1 from eq. - 1

=> cot^2theta×tan^2theta

We know cot theta = 1/tan theta,therefore,cot^2theta = 1/tan^2theta.

=> 1/tan^2theta×tan^2theta

=> 1 ans.