Study Flashcards

1
Q

For an angle θ, pick point P=(x,y) on its terminal side. Then:

A

r= √x^2 + y^2

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2
Q

If P is a point on the circle x^2+y^2=1 (unit circle), then

A

sin θ=y and cos θ=x and

sin^2 θ + cos^2 θ = 1

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3
Q

For π/2 < θ < π

A

θ’ = π - θ

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4
Q

θ’ = π - θ

A

For π/2 < θ < π

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5
Q

For π < θ < 3π/2

A

θ’ = θ - π

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6
Q

θ’ = θ - π

A

For π < θ < 3π/2

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7
Q

For 3π/2 < θ < 2π

A

θ’ = 2π - θ

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8
Q

θ’ = 2π - θ

A

For 3π/2 < θ < 2π

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9
Q

Complementary angles add to

A

90 degrees

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10
Q

Add to 90 degrees

A

Complementary angles

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11
Q

Supplementary angles add to

A

180 degrees

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12
Q

Add to 180 degrees

A

Supplementary

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13
Q

For 30 60 90 triangles on unit circle

A

√3 is x, 1 is y, 2 is hypotenuse

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14
Q

√3 is x, 1 is y, 2 is hypotenuse

A

For 30 60 90 triangles on unit circle

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15
Q

For 45 45 90 triangles unit circle

A

1 as x, 1 as y, √2 as hypotenuse

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16
Q

1 as x, 1 as y, √2 as hypotenuse

A

For 45 45 90 triangles unit circle

17
Q

Positive trigonometric functions 4 quadrants

A

ASTC

18
Q

Ordered pairs

A

π/6 or 30: (√3/2, 1/2)

π/4 or 45: (√2/2, √2/2)

π/3 or 60: (1/2, √3/2)

19
Q

π/6 or 30: (√3/2, 1/2)

π/4 or 45: (√2/2, √2/2)

π/3 or 60: (1/2, √3/2)

A

Ordered pairs

20
Q

Order of transformations

A
V shift
H shift
R x
R y
V stretch
H stretch
21
Q
V shift
H shift
R x
R y
V stretch
H stretch
A

Order of transformations

22
Q

When ln or log equations = 0

A

Put both equations on one side