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

1 Answer

2((1-sin^2theta-sintheta +(1-sin^2theta)sintheta)/(sin2theta))

Explanation:

The identities used to solve this are

1) sin2theta = 2sinthetacostheta

2) sin^2theta + cos^2theta = 1

So

=> costheta/sintheta - 1 /(costheta) + costheta

=> (cos^2theta-sintheta + cos^2thetasintheta)/(sinthetacostheta)

=> 2 ((1-sin^2theta- sintheta + (1-sin^2theta)sintheta)/(sin2theta))