Question

which expression is equivalent to (cos x)(tan(-x))

-sin x
sin x
-csc x
csc x

Answer 1

\[y=\cos(x)\tan(-x)\]\[\tan(-x)=-\tan(x)\]\[y=-\cos(x)\tan(x)\]\[\tan(x)=\frac{\sin(x)}{\cos(x)}\]\[y=-\cos(x) \times \frac{\sin(x)}{\cos(x)}=??\]