Find the coordinates of the point (a, b).

a = and b =

Step-by-step explanation:

As we know, the radius of the unit circle is 1 unit (it is the hypotenuse in the right triangle, the blue line)

We use trigonometric formulas to find out a and b

<=> Sin(45) = b / 1

<=> b= Sin(45)*1 =

<=> Cos(45) = a / 1

<=> a =  Cos(45)*1 =

So: a = and b =

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