Question

what will be the value of theta for which tan theta is equal to -1​

Answer 1

Answer:

1. π-π/4
2. 2π-π/4

Step-by-step explanation:

Only in 2nd and 4th quadrant , value of tan = negetive.

ie,

$between \: angle \: \frac{\pi}{2} and \: \pi \: (2nd \: quadrant) \: \: \: \\ between \: angle \: \frac{3\pi}{4} and \: 2\pi \: (4th \: quadrant)$

We know that ,

if theta = 45° (π/4) , tan 45° = 1

Then, to become the value of tan in (-1) ,

$theta \: = \pi - \frac{\pi}{4} \: \: \\ and \\ theta \: = 2\pi - \frac{\pi}{4}$