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Do Now

Do Now. Find the value of each expression. Sin 60 ° Cos 30 ° Tan 270 ° Tan 180 ° Cos 150 °. Chapter 3. Radian Measure & Circular Functions. Section 3.1 – Radian Measure Objective: SWBAT know the definition of radians, convert between degress and radians.

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Do Now

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  1. Do Now Find the value of each expression. • Sin 60 ° • Cos 30 ° • Tan 270 ° • Tan 180 ° • Cos 150 °

  2. Chapter 3 Radian Measure & Circular Functions Section 3.1 – Radian Measure Objective: SWBAT know the definition of radians, convert between degress and radians. SWBAT find function values for angles.

  3. Radian Measure A second way to measure angles is in radians. Definition of Radian: One radian is the measure of a central angle  that intercepts arc s equal in length to the radius r of the circle. In general,

  4. Radian Measure

  5. Radian Measure

  6. Conversions Between Degrees and Radians • To convert degrees to radians, multiply degrees by • To convert radians to degrees, multiply radians by

  7. Example: Degrees to Radians • Convert each degree measure to radians. • a) 60

  8. Example: Radians to Degrees • Convert each radian measure to degrees. • a)

  9. Degrees Radians Degrees Radians Exact Approximate Exact Approximate 0 0 0 90 1.57 30 .52 180  3.14 45 .79 270 4.71 60 1.05 360 2 6.28 Equivalent Angles in Degrees and Radians

  10. Equivalent Angles in Degrees and Radians continued

  11. Class work Convert each degree measure to radians. Leave answers as multiples of pi. • 60 • 90 • 150 • 300 • 450

  12. Convert each radian measure to degrees • π/3 • 7π/4 • 11π/6 • -π/6 • 7π/10

  13. Homework • Page 97 # 6-14 even and 22-34 even

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