Answer:
1
Explanation:
Given the trigonometric function:
[tex]\tan\left(-\frac{3\pi}{4}\right)[/tex]
First, by the trigonometrical ratios of negative angles:
[tex]\begin{gathered} \tan(-\theta)=-\tan(\theta) \\ \implies\tan\left(-\frac{3\pi}{4}\right)=-\tan\left(\frac{3\pi}{4}\right) \end{gathered}[/tex]
Now, tan(3π/4)=1, therefore:
[tex]\begin{gathered} \tan\left(-\frac{3\pi}{4}\right)=-(-1) \\ =1 \end{gathered}[/tex]
The answer is 1.
