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Measuring Angles – Radian Measure Given circle of radius r, a radian is the measure of a central angle subtended by an arc length s equal to r. The radian.

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Presentation on theme: "Measuring Angles – Radian Measure Given circle of radius r, a radian is the measure of a central angle subtended by an arc length s equal to r. The radian."— Presentation transcript:

1 Measuring Angles – Radian Measure Given circle of radius r, a radian is the measure of a central angle subtended by an arc length s equal to r. The radian measure of an arbitrary angle There are radians in a angle. Why?

2 Using Radian Measure 1.Degree 2 Radian conversions: 2.Measuring angles as fractions of 3.Common angles 4.Finding arc lengths and sector areas using proportions!

3 SOH-CAH-TOA Let be an acute angle in right triangle

4 Two Famous Triangles isosceles 45-45-90 equilateral 30-60-90

5 Know how to do the following 1.Using the famous triangles derive the 6 trig functions for 2.Given any two sides of a right triangle find the values of all six trig. functions 3.Given a side and an angle solve the right triangle (i.e. determine the missing lengths) 4.Given the value of one trig. function, determine the values of the other five

6 Some Miscellaneous Stuff 1.Angular velocity in radians per unit time 2.Alternate area formula for a triangle 3. Complementary angles & co-functions

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