Trigonometry Flashcards

1
Q

-branch of mathematics
-finding heights and distances
-measurement of triangle

A

Trigonometry

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2
Q

founder of trigonometry

A

Hipparchus

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3
Q

x

A

abscissa

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4
Q

y

A

coordinate

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5
Q

composed of two complanar lines and perpendicular lines

A

Rectangular Coordinates System

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6
Q

how to know the distance in vertical

A

|y²-y¹|

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7
Q

how to know the horizontal distance

A

|x2-x1|

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8
Q

Distance formula

A

d= √(x1-x2)²+(y2-y1)²

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9
Q

clockwise

A

negative

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10
Q

counterclockwise

A

positive

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11
Q

what is the range for coterminal angled

A

0≤θ≤360

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12
Q

how to get coterminal

A

0+-360

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13
Q

reference angle for Q1

A

Q1

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14
Q

Reference Angle for Q2

A

180-Q2

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15
Q

Reference Angle for Q3

A

Q3-180

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16
Q

Reference Angle for Q4

A

360-Q4

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17
Q
A
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18
Q

angles that share the same terminal and initial side

A

coterminal angles

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19
Q

smallest positive angle formed between a given angle and the x-axis.

A

Reference Angle

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20
Q

1 revolution=

A

360

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21
Q

how to transfer a number into revolution

22
Q

arc length is equal to

23
Q

circumference of a circle

24
Q

Convert deg to rad

25
Convert Rad to Deg
180/π
26
how to get arc length
S=rθ where r is radius and theta is angle
27
how to get area of a circle
A= 1/2θr²
28
comparison of two quantities
Ratio
29
radius of unit circle
1
30
x²+y²=1
on
31
x²+y²>1
outside
32
x²+y²<1
inside
33
Q1 Positive
all
34
Q2 Positive
Sin and Csc
35
Q3 Positive
Tan and Cot
36
Q4 Positive
Cos Sec
37
y= a sin (bx+c) +d, what is amplitude or height
a
38
Period equation
P=2π/b
39
Range of Sin
{y/-1≤y≤1}
40
tan²x+1=
sec²x
41
sin²x+cos²x
1
42
1+cot²x=
csc²x
43
sin u and cos u, real
-1≤c≤1
44
sin u cos u, not real
c<-1, c>1
45
sec and csc, real
c≤-1, c≥1
46
sec csc, not real
-1
47
tan u = 0
π/2+2πk
48
range of trig eq
0≤x≤2π
49
quadratic formula
-b+-√b²-4ac/2a
50