Determine the exact value of the tangent of the quadrant angle $\frac { 3 \pi } { 2 }$.
A) undefined
B) 0
C) $\frac { \sqrt { 3 } } { 2 }$
D) $\frac { \sqrt { 2 } } { 2 }$
E) $\frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

The tangent of an angle is defined as the ratio of the sine to the cosine of that angle. At $\frac{3\pi}{2}$, the sine is -1 and the cosine is 0. Since division by zero is undefined, the tangent of $\frac{3\pi}{2}$ is undefined.

Determine the Exact Value of the Tangent of the Quadrant 3π2\frac { 3 \pi } { 2 }23π​

Determine the Exact Value of the Tangent of the Quadrant $\frac { 3 \pi } { 2 }$