Calculus Examples

$\frac{\tan (0.008)}{\tan (0.005)}$

Step 1

Rewrite $\tan (0.005)$ in terms of sines and cosines.

$\frac{\tan (0.008)}{\frac{\sin (0.005)}{\cos (0.005)}}$

Step 2

Rewrite $\tan (0.008)$ in terms of sines and cosines.

$\frac{\frac{\sin (0.008)}{\cos (0.008)}}{\frac{\sin (0.005)}{\cos (0.005)}}$

Step 3

Multiply by the reciprocal of the fraction to divide by $\frac{\sin (0.005)}{\cos (0.005)}$ .

$\frac{\sin (0.008)}{\cos (0.008)} \cdot \frac{\cos (0.005)}{\sin (0.005)}$

Step 4

Simplify.

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Step 4.1

Convert from $\frac{\sin (0.008)}{\cos (0.008)}$ to $\tan (0.008)$ .

$\tan (0.008) \frac{\cos (0.005)}{\sin (0.005)}$

Step 4.2

Convert from $\frac{\cos (0.005)}{\sin (0.005)}$ to $\cot (0.005)$ .

$\tan (0.008) \cot (0.005)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\tan (0.008) \cot (0.005)$

Decimal Form:

$1.60000000 \dots$