Question

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

Answer 1

Answer: C. 2/2

Explanation:

Doing the problem rn

Answer 2

a =
`(1)/(√(2) )` and b =
`(√(2) )/(2)`

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) = opposite side / hypotenuse

<=> Sin(45) = b / 1

<=> b= Sin(45)*1 =
`(√(2) )/(2)`

• Cos(45) = adjacent side / hypotenuse

<=> Cos(45) = a / 1

<=> a = Cos(45)*1 =
`(1)/(√(2) )`

So: a =
`(1)/(√(2) )` and b =
`(√(2) )/(2)`