Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the sine ratio on the unit circle is equal to which of these values? (1…

Question

the sine ratio on the unit circle is equal to which of these values? (1 point)

$\bigcirc \sin\theta = x$

$\bigcirc \sin\theta = y$

$\bigcirc \sin\theta = \frac{x}{y}$

$\bigcirc \sin\theta = \frac{y}{x}$

Explanation:

Step1: Recall unit - circle definitions

On the unit circle \(x^{2}+y^{2}=1\). For a point \((x,y)\) on the unit circle corresponding to an angle \(\theta\) in standard position, \(\sin\theta=\frac{y}{r}\). Since \(r = 1\) (unit circle), \(\sin\theta=y\).

Answer:

\(\sin\theta = y\)