ACT Math : How to find a reference angle

Example Questions

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Example Question #11 : How To Find A Reference Angle

What is the reference angle for ?

Explanation:

A reference angle is the smallest possible angle between a given angle measurement and the x-axis.

In this case, our angle  lies in Quadrant III, so the angle is found by the formula .

Thus, the reference angle for  is .

Example Question #12 : How To Find A Reference Angle

What is the reference angle for ?

Explanation:

A reference angle is the smallest possible angle between a given angle measurement and the x-axis.

In this case, our angle  lies in Quadrant II, so we can find our reference angle using the formula

.

Thus, the reference angle for  is .

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