Question

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

Answer 1

B

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=(\sin \theta)/(\cos \theta)`

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

`\tan \theta=(\sin \theta)/(\cos \theta)\\ \\\tan \theta=(y)/(x)`