Question

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

Answer 1

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.