Find the Exact Value tan(270)

Rewrite ${\displaystyle \tan \left(270\right)}$ in terms of sines and cosines.

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.

The exact value of ${\displaystyle \cos \left(90\right)}$ is ${\displaystyle 0}$.

Multiply ${\displaystyle -1}$ by ${\displaystyle 0}$.

The expression contains a division by ${\displaystyle 0}$ The expression is undefined.

Undefined