Trigonometry Examples

\frac{{sin}^{2} (x)}{cos (x)} + \frac{cos (x)}{1}

$\frac{\sin^{2} (x)}{\cos (x)} + \frac{\cos (x)}{1}$

Step 1

Factor

sin (x)

$\sin (x)$ out of

{sin}^{2} (x)

$\sin^{2} (x)$ .

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

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

Step 2

Separate fractions.

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

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

Step 3

Convert from

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

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

tan (x)

$\tan (x)$ .

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

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

Step 4

Divide

sin (x)

$\sin (x)$ by

1

$1$ .

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

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

Step 5

Divide

cos (x)

$\cos (x)$ by

1

$1$ .

sin (x) tan (x) + cos (x)

$\sin (x) \tan (x) + \cos (x)$