How do you simplify sectheta/sintheta(1-cos^2theta)?

2 Answers
Apr 16, 2018

The answer is =tantheta

Explanation:

We need

sin^2theta+cos^2theta=1

sectheta=1/costheta

tantheta=sintheta/costheta

Therefore,

sectheta/sintheta(1-cos^2theta)=sectheta/sintheta*sin^2theta

=1/costheta*sintheta

=tantheta

Apr 16, 2018

tantheta.

Explanation:

sectheta/sintheta(1-cos^2theta),

=sectheta/sintheta*sin^2theta,

=sectheta*sintheta,

=1/costheta*sintheta,

=sintheta/costheta,

=tantheta.