Trigonometry Examples

$\frac{\tan (y)}{\csc (y)}$

Step 1

Rewrite $\csc (y)$ in terms of sines and cosines.

$\frac{\tan (y)}{\frac{1}{\sin (y)}}$

Step 2

Rewrite $\tan (y)$ in terms of sines and cosines.

$\frac{\frac{\sin (y)}{\cos (y)}}{\frac{1}{\sin (y)}}$

Step 3

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\sin (y)}$ .

$\frac{\sin (y) \sin (y)}{\cos (y)}$

Step 4

Convert from $\frac{\sin (y) \sin (y)}{\cos (y)}$ to $\sin (y) \tan (y)$ .

$\sin (y) \tan (y)$