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Measuring Angles – Radian Measure Measuring Angles – Radian Measure

Measuring Angles – Radian Measure - PowerPoint Presentation

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Uploaded On 2016-06-26

Measuring Angles – Radian Measure - PPT Presentation

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 ID: 378791

triangle radian angle measure radian triangle measure angle angles functions trig values radians famous triangles determine measuring arc lengths

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Slide1

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 angleThere are radians in a angle. Why? Slide2

Using Radian Measure

Degree 2 Radian conversions:Measuring angles as fractions ofCommon anglesFinding arc lengths and sector areas

using proportions! Slide3

SOH-CAH-TOA

Let be an acute angle in right triangle Slide4

Two Famous Triangles

isosceles 45-45-90equilateral 30-60-90Slide5

Know how to do the following

Using the famous triangles derive the 6 trig functions forGiven any two sides of a right triangle find the values of all six trig. functions Given a side and an angle solve the right triangle (i.e. determine the missing lengths)Given the value of one trig. function, determine the values of the other fiveSlide6

Some Miscellaneous Stuff

Angular velocity in radians per unit time Alternate area formula for a triangle Complementary angles &

co-functions