Question

THE EXACT VALUE OF:

tan 270degrees

Answer 1

The tangent function is defined as the ratio of the sine to the cosine of the angle.

For \( 270^\circ \):
- The sine of \( 270^\circ \) is \( \sin(270^\circ) = -1 \).
- The cosine of \( 270^\circ \) is \( \cos(270^\circ) = 0 \).

Since the tangent function is given by:

\[
\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}
\]

we can plug in the values:

\[
\tan(270^\circ) = \frac{\sin(270^\circ)}{\cos(270^\circ)} = \frac{-1}{0}
\]

Since division by zero is undefined, we conclude that:

\[
\tan(270^\circ) \text{ is undefined.}
\]