Refer to the figure, which indicates radian measure on the unit circle for angles in standard position. Use the figure (and the unit circle definitions) to determine whether $\sin 6 , \cos 6$ and $\tan 6$ are positive or negative.
A) $\sin 6$ is positive, $\cos 6$ is positive, $\tan 6$ is negative
B) $\sin 6$ is negative, $\cos 6$ is positive, $\tan 6$ is negative
C) $\sin 6$ is positive, $\cos 6$ is positive, $\tan 6$ is positive
D) $\sin 6$ is positive, $\cos 6$ is negative, $\tan 6$ is positive
E) $\sin 6$ is negative, $\cos 6$ is negative, $\tan 6$ is positive

Question

Refer to the figure, which indicates radian measure on the unit circle for angles in standard position. Use the figure (and the unit circle definitions) to determine whether $\sin 6 , \cos 6$ and $\tan 6$ are positive or negative. 
A) $\sin 6$ is positive, $\cos 6$ is positive, $\tan 6$ is negative 
B) $\sin 6$ is negative, $\cos 6$ is positive, $\tan 6$ is negative 
C) $\sin 6$ is positive, $\cos 6$ is positive, $\tan 6$ is positive 
D) $\sin 6$ is positive, $\cos 6$ is negative, $\tan 6$ is positive 
E) $\sin 6$ is negative, $\cos 6$ is negative, $\tan 6$ is positive

Quizplus · Accepted Answer

Looking at the unit circle, we see that the angle 6 is in the second quadrant, where sine is negative and cosine is positive. Therefore, $\sin 6$ is negative and $\cos 6$ is positive. Additionally, since tangent is negative in the second quadrant, we have that $	an 6$ is negative as well. Therefore, the only choice that matches all three of these is choice B.

Refer to the Figure, Which Indicates Radian Measure on the Unit