Trigonometry Examples

$\frac{\tan (1)}{\cot (1)}$

Step 1

Rewrite $\cot (1)$ in terms of sines and cosines.

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

Step 2

Rewrite $\tan (1)$ in terms of sines and cosines.

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

Step 3

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

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

Step 4

Simplify.

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Step 4.1

Convert from $\frac{\sin (1)}{\cos (1)}$ to $\tan (1)$ .

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

Step 4.2

Convert from $\frac{\sin (1)}{\cos (1)}$ to $\tan (1)$ .

$\tan (1) \tan (1)$

Step 4.3

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

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

Step 4.4

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

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

Step 4.5

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

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

Step 4.6

Add $1$ and $1$ .

$\tan^{2} (1)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\tan^{2} (1)$

Decimal Form:

$0.00030467 \dots$