Question

Answer question number 26. The question is in the image.

Answer 1

Okay, here we have this:

Considering the provided function, we are going to evaluate it without using a calculator, so we obtain the following:

So first let's remember that the period of the tangent function is pi, that is to say that its values are repeated every 180 degrees, so first we will apply modulus and then some identity:

`\begin{gathered} tan(240\text{\degree}) \\ =tan(240mod180) \\ =tan(60\text{\degree}) \\ =√(3) \end{gathered}`

Finally we obtain that tan(240°) is equal to √3.