Find the Exact Value tan((3pi)/2)

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Trigonometry

$\tan (\frac{3 π}{2})$

Rewrite $\tan (\frac{3 π}{2})$ in terms of sines and cosines.

$\frac{\sin (\frac{3 π}{2})}{\cos (\frac{3 π}{2})}$

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\frac{\sin (\frac{3 π}{2})}{\cos (\frac{π}{2})}$

The exact value of $\cos (\frac{π}{2})$ is $0$ .

$\frac{\sin (\frac{3 π}{2})}{0}$

The expression contains a division by $0$ The expression is undefined.

Undefined

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