Question

use a calculator to find a decimal approximation for the given value.
\\( \frac{1}{\cot 61.2^\circ} \\)
\\( \frac{1}{\cot 61.2^\circ} \approx \square \\)
(round to seven decimal places as needed.)

Explanation:

Step1: Recall the reciprocal identity of cotangent

We know that \(\frac{1}{\cot\theta}=\tan\theta\), so \(\frac{1}{\cot61.2^{\circ}}=\tan61.2^{\circ}\).

Step2: Use a calculator to find \(\tan61.2^{\circ}\)

Make sure the calculator is in degree mode. Then calculate \(\tan(61.2)\).
Using a calculator, we get \(\tan(61.2^{\circ})\approx1.8185728\)

Answer:

\(1.8185728\)