Warm Up – 3/9 - Monday Convert the following to Radians. Leave

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Presentation transcript:

Warm Up – 3/9 - Monday Convert the following to Radians. Leave 𝜋 in your Answer. 1. 45° 2. −135° 3. 240° Convert the following to Degrees. 4. 3𝜋 4 5. 7𝜋 6. − 𝜋 3

Coterminal Angles Angles that land on the same spot with respect to the positive x-axis. Differences of 360° or 2𝜋 radians

Reference Angles A reference angle is the angle between any angle and the x-axis.

Example #1 State the reference angle.

Example #1 - Solution The reference angle is 180° - 150° = 30°. 30° is the measure between our terminal ray and the x-axis. 30°

Example #2 State the reference angle.

Example #2 - Solution We know the whole angle is 25𝜋 18 while half a revolution is 𝜋. Thus our reference angle is 25𝜋 18 −𝜋 Changing 𝜋 to a fraction over 18: 25𝜋 18 − 18𝜋 18 = 7𝜋 18

Coterminal and Reference Angle Classwork