write the expression in terms of sine and cosine and simplif

write the expression in terms of sine and cosine and simplify so that no quotients apear in the final expression.

It is set as a fraction, I just didn\'t know how to put one on top of the other.

Than you for your help!

Solution

1-cos^2(-theta)/ 1+ tan^2(-theta)

cos (- theta)=cos theta and tan(-theta)= - tan theta

1 -cos^2 theta/1+(-tan theta)^2

sin^2theta/sec^2theta= sin^2 theta cos^2 theta