Question

Prove that$\sqrt{\frac{sec\theta-1}{sec\theta+1}}+\sqrt{\frac{sec\theta+1}{sec\theta-1}}=2cosec\theta$

Answer 1

Explanation:

here,

solving LHS

=√secθ+1/√secθ−1 + √secθ−1/√secθ+1

=(secθ−1)+(secθ+1) /√sec^2θ-1

=2secQ /tanQ

=2cosecQ

therefore , LHS=RHS