An equation of the terminal side of an angle θ in standard position is given along with a restriction on x. Find the
indicated trigonometric function value of θ. Do not use a calculator.
-$y = 2 x , x \geq 0 ; \quad$ Find $\tan \theta$.
A) $\frac { 1 } { 2 }$
B) 2
C) $\frac { \sqrt { 5 } } { 5 }$
D) $\frac { 2 \sqrt { 5 } } { 5 }$

Question

Quizplus · Accepted Answer

The equation $y = 2x$ represents a line through the origin with a slope of 2, which means for every unit increase in $x$, $y$ increases by 2 units. The tangent of angle $\theta$, which is the angle this line makes with the positive x-axis, is equal to the slope of the line, hence $\tan(\theta) = 2$.

An Equation of the Terminal Side of an Angle θ y=2x,x≥0;y = 2 x , x \geq 0 ; \quady=2x,x≥0;

An Equation of the Terminal Side of an Angle θ $y = 2 x , x \geq 0 ; \quad$