Question

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

Answer 1

Let θ be the angle. Then we must have that

`(\pi)/(4)<\theta<(\pi)/(2)`

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

`0<\theta<(\pi)/(4)`

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

`\pi<\theta<(3\pi)/(2)`

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

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