Question

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

Answer 1

Answer:

a = √2/2

b = √2/2

Step-by-step explanation:

The coordinates of the point (a, b) are both √2/2 or both C.

Answer 2

The coordinates of the point (a, b) are (0.7071, 0.7071)

What are coordinates of the point on the circle?

The coordinates of any point on the circle of radius 'r' are $(r~cos\theta,r~sin\theta)$

Foe given example,

we have been given a circle with radius r = 1

We need to find the coordinates of the point (a, b)

This point makes an angle of $\theta$ = 45°

So the coordinates of the point (a, b) would be,

⇒ (a, b) = $(r~cos\theta,r~sin\theta)$

⇒ (a, b) = ((1)cos45°, (1)sin45°)

⇒ (a, b) = (cos(45°), sin(45°))

⇒ (a, b) = (1/√2, 1/√2)

⇒ (a, b) = (0.7071, 0.7071)

Therefore, the coordinates of the point (a, b) are (0.7071, 0.7071)

Learn more about the the coordinates of the point on the circle here:

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