Trigonometry Examples

$\frac{\tan (b)}{\cot (b)}$

Step 1

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

$\frac{\tan (b)}{\frac{\cos (b)}{\sin (b)}}$

Step 2

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

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

Step 3

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

$\frac{\sin (b)}{\cos (b)} \cdot \frac{\sin (b)}{\cos (b)}$

Step 4

Simplify.

Tap for more steps...

Step 4.1

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

$\tan (b) \frac{\sin (b)}{\cos (b)}$

Step 4.2

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

$\tan (b) \tan (b)$

Step 4.3

Raise $\tan (b)$ to the power of $1$ .

$\tan^{1} (b) \tan (b)$

Step 4.4

Raise $\tan (b)$ to the power of $1$ .

$\tan^{1} (b) \tan^{1} (b)$

Step 4.5

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${\tan (b)}^{1 + 1}$

Step 4.6

Add $1$ and $1$ .

$\tan^{2} (b)$