Question

Find the value of $\tan \left(-135\right)$ along with the steps.

Answer 1

Calculate the value of $\tan \left(-135\right)$.

It can be written as

$$\begin{gathered} \Rightarrow \tan \left(-{135}^0\right)=\tan \left({360}^0-{135}^0\right) \\ =\tan {225}^0 \end{gathered}$$

Now, again it can be written as

$$\begin{gathered} \Rightarrow \tan \left({225}^0\right)=\tan \left({180}^0+{45}^0\right) \\ =\tan {45}^0 \\ =1 \end{gathered}$$

Hence, the required final answer is $1$.