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

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Answer 1 · 2018-05-24T14:45:41

For a Proof, please refer to 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!

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