Question

Use the unit circle to find the inverse function value in degrees.see image

Answer 1

60°

Explanation:

We want to use the unit circle to find the inverse function value in degree:

`\tan^(-1)√(3)`

This means that we want to find an angle whose tangent is √3.

Consider the unit circle below:

We know that:

`\tan\theta=(Opposite)/(Adjacent)=(y)/(x)`

From the unit circle, at angle 60 degrees:

`\begin{gathered} (x,y)=((1)/(2),(√(3))/(2)) \\ \implies(y)/(x)=(√(3))/(2)/(1)/(2)=(√(3))/(2)*(2)/(1)=√(3) \end{gathered}`

Therefore:

`\tan60\degree=√(3)`

Thus, the inverse function value is 60 degrees.

Option 3 is correct.