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

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Presentation transcript:

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

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.

A second way to measure angles is in radians. 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,

Radian Measure

Radian Measure

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

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

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

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

Equivalent Angles in Degrees and Radians continued

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

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

Homework Page 97 # 6-14 even and 22-34 even