What is cottheta+tantheta-costheta in terms of sintheta?

1 Answer
Mar 12, 2018

cottheta+tantheta-costheta

=costheta/sintheta+sintheta/costheta-costheta

=(cos^2theta+sin^2theta-sintheta*cos^2theta)/(sinthetacostheta)

=(1-sintheta(1-sin^2theta))/(sinthetacostheta)

=(1-sintheta+sin^3theta)/(sinthetasqrt(1-sin^2theta)