Question

Find the exact value of each expression, if it defined. ( if answer is undefined, enter undefined) tan (-1)

Answer 1

`tan(-1) \approx -0.02`

Explanation:

The given expression is

`tan(-1)`

The tangent of -1 is defined, it's around -0.02.

The tangent is a trigonometric function with a period of
`\pi`, where each period is separated by a vertical asymptote which indicates that the function is not determined through all its domain, that's what the question refers to when it says "if is undefined, enter undefined".

However, at
`x=-1`, the tangent is determined, that means, there's no asymptote on that coordinate, that's why it has a "determined value", which is -0.02 approximately.

`tan(-1) \approx -0.02`