Calculus Examples

$\frac{\tan (0.08)}{\tan (0.05)}$

Step 1

Rewrite $\tan (0.05)$ in terms of sines and cosines.

$\frac{\tan (0.08)}{\frac{\sin (0.05)}{\cos (0.05)}}$

Step 2

Rewrite $\tan (0.08)$ in terms of sines and cosines.

$\frac{\frac{\sin (0.08)}{\cos (0.08)}}{\frac{\sin (0.05)}{\cos (0.05)}}$

Step 3

Multiply by the reciprocal of the fraction to divide by $\frac{\sin (0.05)}{\cos (0.05)}$ .

$\frac{\sin (0.08)}{\cos (0.08)} \cdot \frac{\cos (0.05)}{\sin (0.05)}$

Step 4

Simplify.

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Step 4.1

Convert from $\frac{\sin (0.08)}{\cos (0.08)}$ to $\tan (0.08)$ .

$\tan (0.08) \frac{\cos (0.05)}{\sin (0.05)}$

Step 4.2

Convert from $\frac{\cos (0.05)}{\sin (0.05)}$ to $\cot (0.05)$ .

$\tan (0.08) \cot (0.05)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\tan (0.08) \cot (0.05)$

Decimal Form:

$1.60208568 \dots$