Hello. Would like some help please.
Okay, so:
tan(7Pi/4)
= -tan(Pi/4)
= -1
I understand how it's -tan, and how it equals -1, but how/why did the brackets change from (7Pi/4) to (Pi/4)??? :/
Because $\displaystyle \displaystyle \begin{align*} \frac{7\pi}{4} = 2\pi - \frac{\pi}{4} \end{align*}$, which is in the fourth quadrant.
So it's basically asking you to evaluate $\displaystyle \displaystyle \begin{align*} \tan{\frac{\pi}{4}} \end{align*}$, but to then take into account the fact that the tangent function is negative in the fourth quadrant.