Question

How do you prove `(sec(theta))+(tan(theta))(1-sin(theta))=cos(theta)`?

Answer 1

For a Proof, please refer to Explanation.

Explanation:

`(sectheta+tantheta)(1-sintheta)`,

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

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

`=(1-sin^2theta)/costheta`,

`=cos^2theta/costheta`,

`=costheta`, as desired!