Question

The coordinates of the point on the unit circle that corresponds to an angle of 0º are

And

The coordinates of the point on the unit circle that corresponds to an angle of 90º are

Answer 1

Answer: (1,0)

Explanation:

Answer 2

ANSWER


`a. \: \: \: ( 1,0)`

`b. \: \: \: (0,1)`

EXPLANATION

a. We want to find the coordinates on the unit circle that corresponds to an angle of 0°

In general, the points on the unit circle are given by,


`( \cos( \theta) ,\sin( \theta))`

So we substitute,


`\theta = 0 \degree`
to obtain,


`( \cos( 0\degree) ,\sin( 0\degree))`


`( 1,0)`

b. For the coordinates of the point on the unit circle that corresponds to an angle of 90º,

We substitute

`\theta = 90 \degree`
to obtain,


`( \cos( 90\degree) ,\sin( 90\degree))`

This simplifies to,


`( 0 ,1)`