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
ANSWERED
asked 2021-06-17

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 \(\sin (\theta)\)?
Write your answer in simplified, rationalized form.

Answers (1)

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 \(\displaystyle{y}=\frac{{12}}{{13}} \ so:\) \(\displaystyle{\sin{{\left(θ\right)}}}=\frac{{12}}{{13}}\)

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