Question

What’s the coordinate of p?

Answer 1

Hello from MrBillDoesMath!

 

Answer:

P =         ( sqrt(2)/2), sqrt(2)/2 )

Discussion:

The circle has a radius of 1 as passes it passes through the point (1,0). P makes an angle of 45 degrees with respect to the positive x axis, so by the Pythagorean theorem  (or equivalently, trigonometry),

P = (x,y) = ( [email protected], [email protected]) = (1 cos(45), 1 sin(45)) =

               ( sqrt(2)/2), sqrt(2)/2)

Thank you,

MrB