Question

what is tan β? (3,√7) tan β = √?

Explanation:

Step1: Recall the formula for tangent in coordinate system

For a point \((x,y)\) in the coordinate system, \(\tan\beta=\frac{y}{x}\). Here \(x = 3\) and \(y=\sqrt{7}\).

Step2: Calculate \(\tan\beta\)

\(\tan\beta=\frac{\sqrt{7}}{3}\). But the form given is \(\tan\beta=\frac{\sqrt{?}}{3}\), so we just focus on the numerator part.

Answer:

\(7\)