Question

Which radian measure is equivalent to −15° ?
(has picture)

An angle in standard position measures 7π/6 radians.
In which quadrant does the terminal side of this angle lie?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV

Answer 1

-15 degrees = -15 pi / 180  = -pi/12 radians


convert 7pi/6 to degrees

= 7pi/6  * 180 /pi  =  210 degrees   which is in Quadrant III

Answer 2

a) The radian measure is = $-\frac{\pi}{12}$.

b) $\frac{7\pi}{6}$ is in the Quadrant III.

a) To convert from degree to radian we'll multiply by $\frac{\pi}{180}$.

So, $-15*\frac{\pi}{180}=-\frac{\pi}{12}$.

b)

$\frac{7\pi}{6}=\frac{6\pi+\pi}{6}=\frac{6\pi}{6}+\frac{\pi}{6}=\pi+\frac{\pi}{6}$.

It means $\frac{7\pi}{6}$ is in the Quadrant III.

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