Question

If $\tan \left(x\right)=-1.5$, what is the value of $\tan \left(-x\right)$?

Answer 1

Find the value of given trigonometric expression

Given that $\tan \left(x\right)=-1.5$

We know that

$\tan \left(-x\right)=-\tan \left(x\right)$

Therefore

$$\begin{gathered} \tan \left(-x\right)=-\tan \left(x\right) \\ \Rightarrow \tan \left(-x\right)=-\left(-1.5\right)\left[\because \tan \left(x\right)=-1.5\right] \\ \Rightarrow \tan \left(-x\right)=1.5 \end{gathered}$$

Hence, the value of $\tan \left(-x\right)$ is $1.5$.