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

Explanation:

Step1: Recall the unit - circle definition of cosine

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

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

By the definition (\cos\theta=x) (where ((x,y)) is the point on the unit - circle for angle (\theta)). When (\theta = \frac{3\pi}{2}), (x = 0).

Answer:

(0)