Question

Tan ^-1 (-1). enter your answer in radians

Answer 1

Answer:

$\theta=\frac{3\pi}{4},\theta=\frac{7\pi}{4}$

Step-by-step explanation:

we are given

$tan^{-1}(-1)$

Let's assume angle as theta

$\theta =tan^{-1}(-1)$

so, we get

$tan(\theta)=-1$

now, we can use unit circle and find theta

and we get

$\theta=\frac{3\pi}{4},\theta=\frac{7\pi}{4}$

So, solution is

$\theta=\frac{3\pi}{4},\theta=\frac{7\pi}{4}$