Precalculus Examples

\frac{cot (x)}{csc (x)}

$\frac{\cot (x)}{\csc (x)}$

Step 1

Rewrite

csc (x)

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

\frac{cot (x)}{\frac{1}{sin (x)}}

$\frac{\cot (x)}{\frac{1}{\sin (x)}}$

Step 2

Rewrite

cot (x)

$\cot (x)$ in terms of sines and cosines.

\frac{\frac{cos (x)}{sin (x)}}{\frac{1}{sin (x)}}

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

Step 3

Multiply by the reciprocal of the fraction to divide by

\frac{1}{sin (x)}

$\frac{1}{\sin (x)}$ .

\frac{cos (x)}{sin (x)} sin (x)

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

Step 4

Write

sin (x)

$\sin (x)$ as a fraction with denominator

1

$1$ .

\frac{cos (x)}{sin (x)} \cdot \frac{sin (x)}{1}

$\frac{\cos (x)}{\sin (x)} \cdot \frac{\sin (x)}{1}$

Step 5

Cancel the common factor of

sin (x)

$\sin (x)$ .

Tap for more steps...

Step 5.1

Cancel the common factor.

$\frac{\cos (x)}{\sin (x)} \cdot \frac{\sin (x)}{1}$

Step 5.2

Rewrite the expression.

$\cos (x)$

$\frac{\cot (x)}{\csc (x)}$

(

)

[

]

√



≥

















≤

















∞















