Question

Answer question number 29. The question is in the image.

Answer 1

Answer:

1

Explanation:

Given the trigonometric function:

$\tan\left(-\frac{3\pi}{4}\right)$

First, by the trigonometrical ratios of negative angles:

$\begin{gathered} \tan(-\theta)=-\tan(\theta) \\ \implies\tan\left(-\frac{3\pi}{4}\right)=-\tan\left(\frac{3\pi}{4}\right) \end{gathered}$

Now, tan(3π/4)=1, therefore:

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

The answer is 1.