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MAFS > Exact Trig and graphs > Flashcards

Exact Trig and graphs Flashcards

1
Q

what is Sin 0?

A

0

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2
Q

what is Sin 30?

A

1/2

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3
Q

what is Sin 45?

A

1/ root2

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4
Q

what is Sin 60?

A

root3 / 2

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5
Q

what is Sin 90?

A

1

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6
Q

what is Cos 0?

A

1

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7
Q

what is Cos 30?

A

root3 / 2

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8
Q

what is Cos 45?

A

1 / root2

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9
Q

what is Cos 60?

A

1 / 2

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10
Q

what is Cos 90?

A

0

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11
Q

what is Tan 0?

A

0

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12
Q

what is Tan 30?

A

1 / root3

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13
Q

what is Tan 45?

A

1

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14
Q

what is Tan 60?

A

root3

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15
Q

what is Tan 90?

A

undefined

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16
Q

what are the features of a sine graph?

A
  • repeats every 360 degrees
  • period (wavelength) of 360 degrees
  • maximum values at 90, 1
  • minimum values at 270, -1
17
Q

what are the features of a cosine graph?

A
  • repeats every 360 degrees
  • period (wavelength) of 360 degrees
  • maximum values at 0, 1
  • minimum values at 180, -1
18
Q

what are the features of a tan graph?

A
  • period is 180 degrees
  • asymptotes at 90 and 270 degrees
19
Q

what does ‘a’sin(x) mean?

A

the amplitude changes as there is a stretch in the y direction with a scale factor ‘a’; you would multiply each y-coordinate by ‘a’ (‘a’ times as high, ‘a’ times as low)

20
Q

what does sin(‘a’x) mean?

A

the period changes as there is a stretch in the x direction with a scale factor 1/’a’: you would divide each x=coordinate by ‘a’ (everything happens ‘a’ times as fast)

21
Q

what does sin(x)+a mean?

A

translation of ‘a’ units in the y-direction (+ up, - down)

22
Q

what does sin(x-a) mean?

A

translation of ‘a’ units in x-direction (+ left, - right)

23
Q

what does -sin(x) mean?

A

reflection in x-axis

24
Q

what does sin(-x) mean?

A

reflection in y-axis

25
Q

what does sin(x)= when x is less than 180?

A

sin (x) = sin (180 - x)

26
Q

what does cos(x)= ?

A

cos (x) = cos (360 - x)

27
Q

what does sin (x) = ?

A

sin (x) = cos (90 - x)

28
Q

how do you find repeating solutions to a trig angle?

A

add 360 for cos and sin, and add 180 for tan

MAFS (6 decks)

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