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Maths Methods 1/2 > Circular functions > Flashcards

Circular functions Flashcards

1
Q

how do you convert from degrees to radians

A

x π/180

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2
Q

how do you convert from radians to degrees

A

X 180/π

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3
Q
A
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4
Q
A
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5
Q
A
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6
Q
A
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7
Q

P(⊘) = (x,y) = …….

A

(cos ⊘, sin ⊘)

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8
Q

tan ⊘ = …….

A

sin ⊘/ cos ⊘

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9
Q

for symmetry properties in quadrant 2 what is the rule?

A

π - ⊘ (sin positive, cos negative, tan negative)

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10
Q

for symmetry properties in quadrant 3 what is the rule?

A

π + ⊘ (tan positive, cos negative, sin negative)

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11
Q

for symmetry properties in quadrant 4 what is the rule?

A

2π - ⊘

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12
Q

what are the symmetry property rules for negative angles?

A

sin (-⊘) = -sin ⊘
cos (-⊘) = cos ⊘ (POSITIVE)
tan (-⊘) = -tan ⊘

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13
Q

what is the period equal to for cos and sin graphs

A

2π/n

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14
Q

what is the amplitude for cos and sin graphs

A

a

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15
Q

sin graph shape (+)

A
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16
Q

cos graph shape (+)

A
17
Q

when a sin graph is reflected in the y-axis it is…

A

equivalent to being reflected in the x-axis

18
Q

when a cos graph is reflected in the y-axis it…

A

transforms onto itself (no change)

19
Q

for complimentary relationships what is the rule in the first quadrant?

A

π/2 - ⊘

20
Q

for complimentary what is the rule in the second quadrant?

A

π/2 + ⊘

21
Q

for complimentary relationships what is the rule in the third quadrant?

A

3π/2 - ⊘

22
Q

for complimentary relationships what is the rule in the fourth quadrant?

A

3π/2 + ⊘

23
Q

what is the rule for pythagorean identity

A

cos²⊘ + sin²⊘ = 1

24
Q

what is sin equal to in quadrant one in reference to complementary relationships

A

cos ⊘

25
Q

what is cos equal to in quadrant one in reference to complementary relationships

A

sin ⊘

26
Q

what is sin equal to in the second quadrant in reference to complementary relationships?

A

cos ⊘

27
Q

what is cos equal to in the second quadrant in reference to complementary relationships?

A

-sin ⊘

28
Q

what is sin equal to in the third quadrant in relation to complementary relationships?

A

-cos ⊘

29
Q

what is cos equal to in the third quadrant in relation to complementary relationships?

A
  • sin ⊘
30
Q

what is sin equal to in the fourth quadrant in relation to complementary relationships?

A
  • cos⊘
31
Q

what is cos equal to in the fourth quadrant in relation to complementary relationships?

A

sin ⊘

32
Q

what is the period equal to for tangeant function graphs

A

π/n

33
Q

what are the assymptotes equal to for tangeant function graphs?

A

t = (2k+1)π/ 2n

34
Q

what are the t-axis intercepts equal to on a tangeant function graph?

A

t = kπ/n

35
Q

what is the scale for a tangeant function graph?

A

period/2

36
Q

tan graph shape (+)

A
37
Q

What is the period equal to for sin and cos graphs

A

2pie/n

Maths Methods 1/2 (2 decks)

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