QuestionFind $\cot \theta$ if $\tan \theta = 1.25$ using the reciprocal identity.

Studdy Solution

STEP 1

Assumptions1. The given value of $\tan \theta$ is1.25. We need to find the exact value of $\cot \theta$
3. We will use the reciprocal identity of $\tan \theta$ and $\cot \theta$

STEP 2

The reciprocal identity between $\tan \theta$ and $\cot \theta$ is given by $\cot \theta = \frac{1}{\tan \theta}$

STEP 3

Now, plug in the given value for $\tan \theta$ into the reciprocal identity to find the value of $\cot \theta$ .
$\cot \theta = \frac{1}{1.25}$

STEP 4

Calculate the value of $\cot \theta$ .
$\cot \theta = \frac{1}{1.25} =0.8$ The exact value of $\cot \theta$ is0.8.

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