Question

Which values for e have the same reference angles?

Answer 1

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Answer:

Choice 4: π/4, 3π4, 7π/4

Step-by-step explanation:

For the values of θ to have the same reference angles, the denominators of the radians must be the same. Therefore:

Choice 1: π/6, π/3, 5π/6 - incorrect. π/3 will have a different reference angle as it has a denominator of 3.

Choice 2: π/3, 5π/6, 4π/3 - incorrect. 5π/6 will have a different reference angle as it has a denominator of 6.

Choice 3: π/2, 5π/4, 7π/4 - incorrect. π/2 will have a different reference angle.

Choice 4: π/4, 3π4, 7π/4 - correct. All of these radians contain the same denominator, and will each have the same reference angles of π/4.