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On the unit circle, which of the following angles has the terminal point coordinates ? ​

Sagot :

The angle that has the terminal point coordinates of (√2/2,-√2/2) is 7π/4

How to determine the angle?

The terminal point is given as:

Point = (√2/2,-√2/2)

On a unit circle, we have:

(cos(θ), sin(θ)) = (x,y)

This means that:

(cos(θ), sin(θ)) = (√2/2,-√2/2)

By comparison, we have:

cos(θ) = -√2/2

sin(θ) = √2/2

Using the sine angle, we have:

sin(θ) = √2/2

Take the arc sin of bot sides

θ = 7π/4

Hence, the angle that has the terminal point coordinates is 7π/4

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