The terminal side of the angle θ is standard position lies on the given line and satisfies the given condition. Determine the 6 trigonometric functions of said angle.
$$y = 2x, \quad \sec θ > 0$$
I know how to find the trig functions from radians and angles, but it's the first time I see this type of question.
I know that an angle in standard position means it's initial side is on the positive x axis and the vertex is on the origin, the other ray is the terminal side. I know $y=2x$ is linear and that $\sec θ > 0$ means the angle is positive (rotates counterclockwise). I don't know how to go on beyond that.
$\endgroup$ 51 Answer
$\begingroup$Hint: Use the diagram to determine the point where the line $y = 2x$ intersects the unit circle. Note that $\sec\theta > 0 \implies \cos\theta > 0 \implies x > 0$.
