The angle measures associated with which set of ordered pairs share the same reference angle?

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The Complete question is:

The angle measures associated with which set of ordered pairs share the same reference angle?

(-1/2, - √3/2), (1/2, √3/2)

Answer:

The angle measured associated with (1/2, √3/2) share the same reference angle, angle 30 degrees.

Step-by-step explanation:

Given the set of ordered pair

(-1/2, - √3/2), (1/2, √3/2)

We want to check which of the pairs share the same reference angle.

Let us check for the ordered pair (-1/2, - √3/2)

arcsin (-1/2) = - 30

arccos (-1/2) = 120

arcsin (-√3/2) = - 60

arccos (-√3/2) = 150

These are completely different.

For the ordered pair (1/2, √3/2)

arcsin (1/2) = 30

arccos (1/2) = 60

arcsin (√3/2) = 60

arccos (√3/2) = 30

This is the correct pair.