Solve the problem for the given information.
-Find the equation of a line passing through the origin so that the sine of the angle between the line in quadrant $I$ and the positive $x$-axis is $\frac { \sqrt { 3 } } { 2 }$.
A) $y = \frac { \sqrt { 3 } } { 2 } x$
B) $y = \sqrt { 3 } x$
C) $y = \frac { \sqrt { 3 } } { 3 } x$
D) $y = x$

Question

Quizplus · Accepted Answer

The sine of the angle is $\frac{\sqrt{3}}{2}$, which corresponds to an angle of $60^\circ$. The slope of the line is $\tan(60^\circ) = \sqrt{3}$, so the equation is $y = \sqrt{3}x$.

Solve the Problem for the Given Information III And the Positive xxx

Solve the Problem for the Given Information $I$ And the Positive $x$