Question

What are the coordinates of a point on the unit circle if the angle formed by the positive x-axis and the radius is 45 degrees?

Answer 1

The coordinates in cartesian are given by,
\[x=r\cos\theta\\
y=r\sin\theta\]
You know
\[r=1\\ \theta=45\]
What are the values of x and y then?

Answer 2

I'm not sure

Answer 3

1cos and 1sin?

Answer 4

Ok, plug the values in:
\[x=1\cdot\cos(45)\\
y=1\cdot\sin(45)\]

Answer 5

You should calculate those values

Answer 6

x=sqrt 2/2 and y=1/sqrt2

Answer 7

Is this correct?

Answer 8

Yes, but I would choose this form:
\[\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)\]

Answer 9

Okay,what do I do next?

Answer 10

That is the answer.

Answer 11

Okay.Thank you for the help!

Answer 12

You're welcome.