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

Question

Quizplus · Accepted Answer

The cosine of the angle is the x-component of the unit vector along the line. If $\cos(\theta) = \frac{\sqrt{3}}{2}$, then $\theta = 30^\circ$. The slope of the line is $\tan(30^\circ) = \frac{1}{\sqrt{3}}$, so the equation is $y = \frac{\sqrt{3}}{3}x$.

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

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