An equation of the terminal side of an angle $\theta$ in standard position is given along with a restriction on x. Find the
indicated trigonometric function value of $\theta$ . Do not use a calculator.
-$y = 3 x , x \geq 0 ; \quad$ Find $\tan \theta$
A) $\frac { 3 \sqrt { 10 } } { 10 }$
B) 3
C) $\frac { 1 } { 3 }$
D) $\frac { \sqrt { 10 } } { 10 }$

Question

Quizplus · Accepted Answer

The equation $y = 3x$ represents a right triangle in the coordinate plane where the opposite side (y) is 3 times the adjacent side (x). The tangent of an angle is the ratio of the opposite side to the adjacent side, so $\tan \theta = \frac{y}{x} = \frac{3x}{x} = 3$.

An Equation of the Terminal Side of an Angle θ\thetaθ In Standard Position Is Given Along with a Restriction on In Standard

An Equation of the Terminal Side of an Angle $\theta$ In Standard Position Is Given Along with a Restriction on In Standard