On separate diagrams, show the quadrant or coordinate axis on which the terminal arm $OA$ lies for

Question

On separate diagrams, show the quadrant or coordinate axis on which the terminal arm $OA$ lies for each angle below.

$-758^{\circ}$

$\frac{7}{2} \pi$

$-2 \frac{3}{8} \pi$

In each case, clearly indicate the direction of rotation and find $\alpha$, the smaller non-negative angle between the terminal arm and the $x$-axis. Thus $0\le\alpha\le\pi/2$, allowing $90^\circ$ when the terminal arm lies on the $y$-axis.

Accepted Answer

(a) $\alpha=38^\circ$, (b) $\alpha=90^\circ$, (c) $\alpha=\frac{3\pi}{8}$

Trigonometry - Exact Trigonometric Values and the Unit Circle

Trigonometry - Exact Trigonometric Values and the Unit Circle

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