Question

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

Answer 1

1

Explanation:

Given the trigonometric function:

`\tan\left(-(3\pi)/(4)\right)`

First, by the trigonometrical ratios of negative angles:

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

Now, tan(3π/4)=1, therefore:

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

The answer is 1.