What is cottheta-csctheta+cos^2theta in terms of sintheta?

1 Answer
Jan 1, 2016

(sqrt(1-sin^2(theta))-1)/sin(theta) + 1-sin^2(theta)

Explanation:

cot(theta)-csc(theta)+cos^2(theta)
=cos(theta)/sin(theta) - 1/sin(theta) + cos^2(theta)
=(cos(theta)-1)/sin(theta) + cos^2(theta)
(sqrt(1-sin^2(theta))-1)/sin(theta) + 1-sin^2(theta)

This could be one such way of writing the expression.