Question

Use the appropriate identity to find indicated value. Rationalize the denominator. If it is a decimal, round to nearest three decimal places. 11tan θ, given that cot θ = - — 12

Answer 1

ANSWER:

$\tan \theta=-\frac{12}{11}$

STEP-BY-STEP EXPLANATION:

We have the following trigonometric expression:

$\cot \theta=-\frac{11}{12}$

We can calculate the value of the tangent starting from the following property:

$\begin{gathered} \cot \theta=\frac{1}{\tan \theta} \\ \text{ therefore:} \\ \frac{1}{\tan \theta}=-\frac{11}{12} \\ \tan \theta=-\frac{12}{11} \end{gathered}$