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How to find the reference angle for an angle not located on the unit circle

Answer 1

Abigail Nelson

Charlotte Davis

To find the reference angle for an angle not located on the unit circle, we first need to understand that the reference angle is the smallest angle between the given angle and the x-axis. Let\

Answer 2

Alex Thompson

Mia Harris

To find the reference angle for an angle not on the unit circle, follow these steps:

1. Identify the quadrant in which the angle $ heta $ lies.

2. Use the corresponding formula to find the reference angle.
– First quadrant: $ ext{Reference Angle} = heta $
– Second quadrant: $ ext{Reference Angle} = 180^circ – heta $
– Third quadrant: $ ext{Reference Angle} = heta – 180^circ $
– Fourth quadrant: $ ext{Reference Angle} = 360^circ – heta $

Answer 3

Amelia Mitchell

Amelia Mitchell

To find the reference angle for an angle not on the unit circle:

1. Determine the quadrant where $ heta $ is.

2. Apply the relevant formula:

  • First quadrant: $ heta $
  • Second quadrant: $ 180^circ – heta $
  • Third quadrant: $ heta – 180^circ $
  • Fourth quadrant: $ 360^circ – heta $