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  • 01-11-2019
  • Mathematics
contestada

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

If Pxy is the point on the unit circle determined by real numbers θ then tanθ class=

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frika
frika frika
  • 05-11-2019

Answer:

B

Step-by-step explanation:

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

[tex]\left\{\begin{array}{l}x=\cos \theta\\ \\y=\sin \theta\end{array}\right.[/tex]

Definition:

[tex]\tan \theta=\dfrac{\sin \theta}{\cos \theta}[/tex]

Using definition of [tex]\tan \theta[/tex] and definition of point coordinates on the unit circle, we can conclude that

[tex]\tan \theta=\dfrac{\sin \theta}{\cos \theta}\\ \\\tan \theta=\dfrac{y}{x}[/tex]

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