Question

Let (6,-5) be a point on the terminal side of θ. Find the exact values of cos θ, csc θ , and tan θ

Answer 1

Given the information on the problem, we have the following right triangle:

therefore, the trigonometric functions cosine, cosecant and tangent are:

`\begin{gathered} \cos \theta=\frac{6}{\sqrt[]{61}} \\ \csc \theta=(1)/(\sin\theta)=\frac{1}{-\frac{5}{\sqrt[]{61}}}=-\frac{\sqrt[]{61}}{5} \\ \tan \theta=-(5)/(6) \end{gathered}`