Question

If P(x,y) is the point on the unit circle determined by real numbers θ, then tanθ = _.​

Answer 1

Answer:

B

Step-by-step explanation:

Coordinates of the point P(x,y) on the unit circle can be derived using

$\left\{\begin{array}{l}x=\cos \theta\\ \\y=\sin \theta\end{array}\right.$

Definition:

$\tan \theta=\dfrac{\sin \theta}{\cos \theta}$

Using definition of $\tan \theta$ and definition of point coordinates on the unit circle, we can conclude that

$\tan \theta=\dfrac{\sin \theta}{\cos \theta}\\ \\\tan \theta=\dfrac{y}{x}$