Question

how do we find the value of tan(-¹)​

Answer 1

$tan^{-1}x\text{ is an angle whose tan value is x}$

$\text{Take }\theta=tan^{-1}x$

$\implies\,tan\theta=x$

$\text{From this equation the value of }\theta\,\text{ is found out}$

$\text{For example, consider }tan^{-1}1$

$\text{Take }\theta=tan^{-1}1$

$\implies\,tan\theta=1$

$\implies\,\theta=\frac{\pi}{4}$

$\text{Hence }tan^{-1}1=\frac{\pi}{4}$

Answer 2

Arctan or tan(-1) is the inverse of tan or tangent. Tan is sin/cos. The tan inverse is restricted to quadrants 1 and 4 or to 90 degree or -90 degree. So to find the value of tan(-1), we look at the Unit Circle, and evaluate which angle we want to find keeping the quadrants in mind. Such as, tan(-1) -1 is find by selecting the angles on the right half of the Unit Circle which are as much close to zero as possible. As a result,  tan(-1) -1 = - 45 degrees.

hope it helped....

know more:

https://brainly.in/question/10872974 What is the value of tan 1​

https://brainly.com/question/118961 Find the value of tan π/12.