Precalculus Examples

$\tan (θ) = \frac{8}{5}$

Step 1

To find the value of $\cot (θ)$ , use the fact that $\frac{1}{\tan (θ)}$ then substitute in the known values.

$\cot (θ) = \frac{1}{\tan (θ)} = \frac{1}{\frac{8}{5}}$

Step 2

Simplify the result.

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Step 2.1

Multiply the numerator by the reciprocal of the denominator.

$\cot (θ) = \frac{1}{\tan (θ)} = 1 (\frac{5}{8})$

Step 2.2

Multiply $\frac{5}{8}$ by $1$ .

$\cot (θ) = \frac{1}{\tan (θ)} = \frac{5}{8}$