Question

Find the value of Tan (-15π/4).

Find the value of Tan (-15Pi/4).

Answer 1

$$\begin{gathered} \tan \left(\frac{-15\mathrm{\pi }}{4}\right) \\ =-\tan \left(\frac{15\mathrm{\pi }}{4}\right)=-\tan \left(2\mathrm{\pi }+\frac{3\mathrm{\pi }}{4}\right)=-\tan \left(\frac{3\mathrm{\pi }}{4}\right) \\ =-\tan \left(\mathrm{\pi }-\frac{\mathrm{\pi }}{4}\right) \\ =\tan \left(\frac{\mathrm{\pi }}{4}\right) \\ =1 \end{gathered}$$