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

`\tan \theta=-(12)/(11)`

Explanation:

We have the following trigonometric expression:

`\cot \theta=-(11)/(12)`

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

`\begin{gathered} \cot \theta=(1)/(\tan \theta) \\ \text{ therefore:} \\ (1)/(\tan \theta)=-(11)/(12) \\ \tan \theta=-(12)/(11) \end{gathered}`