In the xy-plane, the unit circle with center at the origin o contains point a with coordinates (1, 0) what is the 4 and point b with coordinates value of the sine of zaob ?

Answers 1

Answer:

Let the centre of the circle be (0,0)

The radius of the circle is OA=(3)2+(1)2=2

Also, the coordinates of point B would be (2,0)

The coordinates of point A can be therefore written as (2cosθ,2sinθ) where θ is ∠AOB

These, when compared to (3,1), we get 3=2cosθ

∴cosθ=23

⇒∠AOB=6π or a=6

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