4-1. Thinking about angles differently: Rotating a ray to create an angle Initial side - where we...

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RADIAN AND DEGREE MEASURE 4-1

Transcript of 4-1. Thinking about angles differently: Rotating a ray to create an angle Initial side - where we...

Page 1: 4-1. Thinking about angles differently: Rotating a ray to create an angle Initial side - where we start Terminal side - where we stop.

RADIAN AND DEGREE MEASURE4-1

Page 2: 4-1. Thinking about angles differently: Rotating a ray to create an angle Initial side - where we start Terminal side - where we stop.

ANGLESThinking about angles differently:

Rotating a ray to create an angleInitial side - where we startTerminal side - where we stop

Page 3: 4-1. Thinking about angles differently: Rotating a ray to create an angle Initial side - where we start Terminal side - where we stop.

ANGLESStandard Position- the initial side is on the positive side of the x axis with the vertex on the origin

Positive angle – rotate counterclockwiseNegative angle – rotate clockwise

Page 4: 4-1. Thinking about angles differently: Rotating a ray to create an angle Initial side - where we start Terminal side - where we stop.

ANGLESCoterminal angles - angles are coterminal when there terminal ray is in the same position.

Radian measure – Radians are a ratio of arc length to radius. One radian is when the arc length is equal to the radius.

Page 5: 4-1. Thinking about angles differently: Rotating a ray to create an angle Initial side - where we start Terminal side - where we stop.

ANGLESComplete revolution is radians

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ANGLES

Page 7: 4-1. Thinking about angles differently: Rotating a ray to create an angle Initial side - where we start Terminal side - where we stop.

SKETCHING ANGLESSketch in standard position

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SKETCHING ANGLESSketch in standard position

Compare to the last graph

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SKETCHING ANGLESSketch in standard position

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