5.1 Angles and Radian Measure. ANGLES Ray – only one endpoint Angle – formed by two rays with a common endpoint Vertex – the common endpoint of an angle’s.

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Presentation transcript:

5.1 Angles and Radian Measure

ANGLES Ray – only one endpoint Angle – formed by two rays with a common endpoint Vertex – the common endpoint of an angle’s initial and terminal sides. origin -Initial side lies along positive x-axis

QUADRANTS When in standard position, an angle’s terminal side lies in a quadrant.

Quadrantal Angle Not in a quadrant. Terminal side is on either the x- or y-axis.

MEASURING ANGLES USING DEGREES Acute Right Obtuse Straight

MEASURING ANGLES IN RADIANS One radian is the measure of the central angle of a circle that intercepts an arc equal in length to the radius of the circle.

Ex #1: RADIAN MEASURE

MEASURING ANGLES IN RADIANS One radian is the measure of the central angle of a circle that intercepts an arc equal in length to the radius of the circle.

Plus just a little bit more !

Radians and Degrees

CONVERSION

Ex #2-3

Drawing Angles in Standard Position

UNIT CIRCLE

FINDING COTERMINAL ANGLES

HOMEWORK Pg. 480 #1-55 odd + pg. 476 Checkpoint #5 (you’ll need to read Example 5 in order to do the checkpoint)