Question

sin θ − csc θ/ cos θ

Answer 1

csc = 1/sin
\[\sin - \frac{1}{\sin} = \frac{\sin^{2} -1}{\sin}\]
pythagorean identity : sin^2 + cos^2 = 1
\[\rightarrow \frac{\sin^{2} -1}{\sin} = \frac{-\cos^{2}}{\sin}\]
now divide by cos
\[\frac{-\cos^{2}}{\sin} *\frac{1}{\cos} = \frac{-\cos}{\sin} = -\cot\]

Answer 2

Thank you

Answer 3

yw