Question

# The terminal side of an angle θ in standard position intersects the unit circle at (5/13, 12/13). What is sin (θ)? Write your answer in simplified, ra

Trigonometric Functions

The terminal side of an angle $$\theta$$ in standard position intersects the unit circle at $$\displaystyle{\left(\frac{{5}}{{13}},\frac{{12}}{{13}}\right)}$$. What is $$\sin (\theta)$$?

2021-06-18

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