Question

Identify the reference angle Ф for each given angle, Ф. When ∅=300°, Ф=

Answer 1

Answer:  60 degrees

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Explanation:

The given angle is ∅ = 300. This x value is between 270 and 360, so we're in quadrant IV (the southeast quadrant)

The rule to get the reference angle y for this quadrant is

Ф = 360-∅

This tells us the angle made with the positive x axis

Ф = 360-∅

Ф = 360-300

Ф = 60

A 60 degree angle forms with the positive x axis as shown in the diagram below.