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For each point on the unit circle select the angle that corresponds to it.

For Each Point On The Unit Circle Select The Angle That Corresponds To It class=

Sagot :

Let θ be the angle. Then we must have that

[tex]\frac{\pi}{4}<\theta<\frac{\pi}{2}[/tex]

Of all the options, the only one that satisfies the condition above is (3π)/7

Hence, θ = (3π)/7

Therefore the angle for point B is (3π)/7

In the case of point A we must have that

[tex]0<\theta<\frac{\pi}{4}[/tex]

In this case, the only possible angle is π / 5

Therefore the angle for point A is π / 5

In the case of point C we must have that

[tex]\pi<\theta<\frac{3\pi}{2}[/tex]

In this case, the only possible angle is (4π) / 3

Therefore the angle for point C is (4π) / 3