Find the Exact Value tan(270)

$\tan (270)$

Rewrite $\tan (270)$ in terms of sines and cosines.

$\frac{\sin (270)}{\cos (270)}$

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant.

$\frac{\sin (270)}{- \cos (90)}$

The exact value of $\cos (90)$ is $0$ .

$\frac{\sin (270)}{- 0}$

Multiply $- 1$ by $0$ .

$\frac{\sin (270)}{0}$

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

Undefined

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