QuestionFind $\cot \theta$ using the reciprocal identity if $\tan \theta = 6$ .

Studdy Solution

STEP 1

Assumptions1. The value of $\tan \theta$ is given as6. We are asked to find the value of $\cot \theta$ using the reciprocal identity.

STEP 2

The reciprocal identity for tangent and cotangent is defined as $\cot \theta = \frac{1}{\tan \theta}$

STEP 3

Now, plug in the given value for $\tan \theta$ into the reciprocal identity to find the value of $\cot \theta$ .
$\cot \theta = \frac{1}{6}$ So, the exact value of $\cot \theta$ when $\tan \theta =6$ is $\frac{1}{6}$ .

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