The terminal side of an angle θ in standard position intersects the unit circle at...

BolkowN

Answered question

2021-06-17

The terminal side of an angle $\theta $ in standard position intersects the unit circle at $(\frac{5}{13},\frac{12}{13})$. What is $\mathrm{sin}(\theta )$?
Write your answer in simplified, rationalized form.

Answer & Explanation

Alara Mccarthy

Skilled2021-06-18Added 85 answers

Given a point $(x,y)$ on a unit circle, then: $\mathrm{sin}\left(\theta \right)=y$
From the point, $x=\frac{5}{13}$ and $y=\frac{12}{13}\text{}so:$$\mathrm{sin}\left(\theta \right)=\frac{12}{13}$