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.
