Question

Determine the value(s) of θ (between 0 and 2π) where tan(θ)=1.θ=Determine the value(s) of θ (between 0 and 2π) where tan(θ)=−1.θ=

Answer 1

$\begin{gathered} \tan \emptyset\text{ = 1} \\ \emptyset=\tan ^{-1}1=45^0 \end{gathered}$$\begin{gathered} \tan \text{ }\emptyset\text{= -1 } \\ \emptyset=\text{ }\tan ^{-1}-1=-45^{0\text{ }}=360^{0\text{ }}-45^0=315^0 \end{gathered}$