Question

prove that 1+sintheta/costheta=costheta/1-sintheta​

Answer 1

Step-by-step explanation:

(1+sintheta)/costheta=costheta/(1-sintheta)

R.H.S.

costheta/(1-sintheta)

={costheta(1+sintheta)}/{(1-sintheta)(1+sintheta)}

={costheta (1+sintheta)}/(1-sin²theta)

={costheta (1+sintheta)}/cos²theta

=(1+sintheta)/costheta=L.H.S