What is $costheta-tantheta*sectheta$ in terms of $sintheta$ ?

Question

1461 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-09T10:27:58

$=((1-sin^2(theta))sqrt(1-sin^2(theta)) - sin(theta))/(1-sin^2(theta))$

$cos(theta) - tan(theta)*sec(theta)$

$=cos(theta) - sin(theta)/cos(theta) * 1/cos(theta)$

$=cos(theta) -sin(theta)/cos^2(theta)$

$=sqrt(1-sin^2(theta)) - sin(theta)/(1-sin^2(theta))$

$=((1-sin^2(theta))sqrt(1-sin^2(theta)) - sin(theta))/(1-sin^2(theta))$

What is costheta-tantheta*sectheta costheta-tantheta*sectheta in terms of sintheta sintheta ?