62.9k views
5 votes
Finding values of trigonometric functions given information about an angle:

Finding values of trigonometric functions given information about an angle:-example-1
User Atsushi
by
8.6k points

1 Answer

4 votes

Given:


(x,y)=(2,-\sqrt[]{5})
\begin{gathered} r=\sqrt[]{x^2+y^2} \\ r=\sqrt[]{(2)^2+(-\sqrt[]{5})^2} \\ r=\sqrt[]{4+5} \\ r=\sqrt[]{9} \\ r=3 \end{gathered}
\begin{gathered} \cos \theta=(x)/(r) \\ =(2)/(3) \end{gathered}
\begin{gathered} \csc \theta=(r)/(y) \\ =\frac{3}{-\sqrt[]{5}} \\ =-\frac{3}{\sqrt[]{5}} \end{gathered}
\begin{gathered} \tan \theta=\frac{-\frac{\sqrt[]{5}}{3}}{(2)/(3)} \\ =-\frac{\sqrt[]{5}}{2} \end{gathered}

User Ddonche
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories