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 $\frac { \sqrt { 2 } } { 2 }$.
A) $y = \sqrt { 3 } x$
B) $y = \frac { \sqrt { 2 } } { 2 } x$
C) $y = \frac { \sqrt { 3 } } { 3 } x$
D) $y = x$

Question

Quizplus · Accepted Answer

The sine of the angle between the line and the positive x-axis is equal to the slope of the line when the line passes through the origin. Since the sine of 45 degrees (or $\pi/4$ radians) is $\frac{\sqrt{2}}{2}$, and the slope of a line that makes a 45-degree angle with the x-axis is 1, the correct equation of the line is $y = x$.

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

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