les formules de transformations Flashcards

1
Q

What is the formula to transform sin(x) into cos?

A

sin(x) = cos(pi/2 - x)

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2
Q

True or False: cos(x) can be expressed as sin(x + pi/2).

A

True

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3
Q

Fill in the blank: sin(x + pi) = _____

A

−sin(x)

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4
Q

What is the transformation of cos(x) when subtracting pi?

A

cos(x - pi) = −cos(x)

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5
Q

Which of the following is the correct transformation for sin(x - pi/2)? A) cos(x) B) −cos(x) C) sin(x)

A

A) cos(x)

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6
Q

How does adding pi to sin affect its value?

A

sin(x + pi) = −sin(x)

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7
Q

What is the result of cos(x + pi/2)?

A

cos(x + pi/2) = −sin(x)

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8
Q

True or False: sin(x) = sin(x + 2pi).

A

True

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9
Q

What is the relationship between sin and cos at x + pi/2?

A

sin(x + pi/2) = cos(x)

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10
Q

Fill in the blank: cos(x + pi) = _____

A

−cos(x)

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11
Q

What happens to cos when you subtract pi/2?

A

cos(x - pi/2) = sin(x)

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12
Q

Which transformation is correct? A) sin(x + pi) = sin(x) B) sin(x + pi) = −sin(x) C) sin(x + pi) = cos(x)

A

B) sin(x + pi) = −sin(x)

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13
Q

What is the formula for cos(x) in terms of sin?

A

cos(x) = sin(pi/2 - x)

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14
Q

True or False: sin(x - pi) = sin(x).

A

False

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15
Q

What is the transformation of sin(x + pi/2)?

A

sin(x + pi/2) = cos(x)

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16
Q

Fill in the blank: cos(x - pi) = _____

17
Q

How do you express sin(x) using cos with a pi/2 adjustment?

A

sin(x) = cos(pi/2 - x)

18
Q

What would be the result of cos(x + pi)?

A

cos(x + pi) = −cos(x)

19
Q

Which of the following transformations is incorrect? A) sin(x) = cos(pi/2 - x) B) cos(x + pi) = cos(x) C) sin(x + pi) = −sin(x)

A

B) cos(x + pi) = cos(x)

20
Q

What is the effect of adding 2pi to sin(x)?

A

sin(x + 2pi) = sin(x)

21
Q

True or False: cos(x + pi/2) = sin(x).

22
Q

What is the transformation of sin(x - pi/2)?

A

sin(x - pi/2) = −cos(x)

23
Q

How does cos change when you add pi/2?

A

cos(x + pi/2) = −sin(x)