How do you simplify the expression sectheta-sinthetatantheta?

2 Answers
Oct 29, 2016

The expression =costheta

Explanation:

sectheta-sinthetatantheta=1/costheta-(sinthetasintheta)/costheta

=(1-sin^2theta)/costheta but (sin^2theta+cos^2theta=1)

so finally we get =cos^2theta/costheta=costheta

Oct 29, 2016

=costheta

Explanation:

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

=(1-sin^2theta)/costheta

=(cos^2theta)/costheta

=costheta