Day 46 ­ Cast Rule after.notebook
November 24, 2015
Sketch the following and determine a negative angle co­terminal with:
1
Day 46 ­ Cast Rule after.notebook
November 24, 2015
Reference Triangles:
Recall from prior studies...
What is the significance of reference angles?
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Day 46 ­ Cast Rule after.notebook
November 24, 2015
Angles on the Cartesian Plane
•
•
Reference Angle - an acute angle formed between
the terminalarm and the x-axis.
Reference Triangle - a triangle formed by drawing a
perpendicular line from a point on
the terminal to thex-axis.
TRIG RATIOS on the CARTESIAN PLANE
"Primary"
}
}
Notice what will happen
if the rotation moves into
other quadrants?
"Reciprocal"
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Day 46 ­ Cast Rule after.notebook
November 24, 2015
TRIG RATIOS IN ALL 4 QUADRANTS
What primary trig ratios are POSITIVE in...
II
( ­ , + )
I
( + , + )
SA
TC
III
( ­ , ­ )
I
( + , ­ )
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Day 46 ­ Cast Rule after.notebook
November 24, 2015
Homework
Determine the measure (in radians) of an angle whose terminal arm passes through the ordered pair 5
Day 46 ­ Cast Rule after.notebook
November 24, 2015
Special Angles (in radians)
2
1
1
1
Quadrantal Angles
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Day 46 ­ Cast Rule after.notebook
November 24, 2015
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Day 46 ­ Cast Rule after.notebook
November 24, 2015
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Day 46 ­ Cast Rule after.notebook
November 24, 2015
Special Angles on the Unit Circle:
Let's use as our reference angle
Construct reference triangles for all multiples of π/4
between 0 and 2π
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Day 46 ­ Cast Rule after.notebook
November 24, 2015
Unit Circle of Special Angles in Degrees
This is lovely...so what is it used for????
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Day 46 ­ Cast Rule after.notebook
November 24, 2015
Unit Circle of Special Angles in Radians
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Attachments
Worksheet ­ Sketching Angles in Radians.doc