find the exact value.\n\n\\( \\cos \\frac { 3 \\pi } { 2 } \\)

Explanation:

Step1: Use the unit - circle definition

The cosine of an angle (\theta) in the unit - circle is given by the (x) - coordinate of the point ((x,y)) on the unit - circle corresponding to the angle (\theta). For (\theta=\frac{3\pi}{2}), the point on the unit - circle is ((0, - 1)).

Step2: Determine the value of (\cos\theta)

Since (\cos\theta=x) (from the unit - circle definition ((x,y)=(\cos\theta,\sin\theta))), when (\theta = \frac{3\pi}{2}), (x = 0).

Answer:

(0)