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

In the third quadrant, the sine is negative and the cosine is positive, which means the tangent will be negative. However, at the exact point of $\frac { 3 \pi } { 2 }$, the cosine is equal to 0, which makes the tangent 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 $\frac { 3 \pi } { 2 }$