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Unit Circle
unit circle radius cos sin tan
11
Mathematics
12th Grade
11/05/2014

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Term
π/6

degree:
cos:
sin:
tan:
Definition
degree: 30
cos: sqrt(3)/2
sin: 1/2
tan: sqrt(3)/3
Term
π/4

degree:
cos:
sin:
tan:
Definition
degree: 45
cos: sqrt(2)/2
sin: sqrt(2)/2
tan: 1
Term
π/3

degree:
cos:
sin:
tan:
Definition
degree: 60
cos: 1/2
sin: sqrt(3)/2
tan: sqrt(3)
Term
π/2

degree:
cos:
sin:
tan:
Definition
degree: 90
cos: 0
sin: 1
tan: undefined
Term
In which quadrants is Tan/Cot +?
In which quadrants is Tan/Cot -?
Definition
tan/cot is + in quadrants I, III
tan/Cot is - in quadrants II, IV
Term
In which quadrants is Cos/Sec +?
In which quadrants is Cos/Sec -?
Definition
cos/sec is + in quadrants IV, I
cos/sec is - in quadrants II, III
Term
In which quadrants is Sin/Csc +?
In which quadrant is Sin/Csc -?
Definition
sin/csc is + in quadrants I, II
sin/csc is - in quadrants IV, III
Term
Where is tan and sec undefined?
Definition
π/2, 3π/2
Term
Where is cot and csc undefined?
Definition
0, π
Term
Explain what happens to the reference angle in each quadrant?
quadrant 1:
quadrant 2:
quadrant 3:
quadrant 4:
Definition
quadrant 1: Ɵ=RA
quadrant 2: Ɵ= π-RA
quadrant 3: Ɵ= π+RA
quadrant 4: Ɵ=2π-RA
Term
Remember Trigonometric Identities:
quotient identities
reciprocal identities
Pythagorean identities
cofunction identities
half angle identities
even-odd identities
double angle formulas
sum and difference formulas
Definition
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