Trig Flashcards

1
Q

What is the derivative of sin(x)?

A

cos(x)

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2
Q

What is the derivative of cos(x)?

A

-sin(x)

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3
Q

What is the derivative of tan(x)?

A

sec^2(x)

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4
Q

What is the derivative of csc(x)?

A

-csc(x)cot(x)

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5
Q

What is the derivative of sec(x)?

A

sec(x)tan(x)

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6
Q

What is the derivative of cot(x)?

A

-csc^2(x)

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7
Q

What is the integral of sin(x)?

A

-cos(x) + C

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8
Q

What is the integral of cos(x)?

A

sin(x) + C

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9
Q

What is the integral of tan(x)?

A

-ln|cos(x)| + C

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10
Q

What is the integral of csc(x)?

A

-ln|csc(x) + cot(x)| + C

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11
Q

What is the integral of sec(x)?

A

ln|csc(x) + cot(x)| + C

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12
Q

What is the integral of cot(x)?

A

ln|sin(x)| + C

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13
Q

What is the derivative of arcsin(x)?

A

1 / √(1 - x²).

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14
Q

What is the derivative of arccos(x)

A

-1 / √(1 - x²).

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15
Q

What is the derivative of arctan(x)?

A

1 / (1 + x²).

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16
Q

What is the derivative of arccsc(x)?

A

-1 / (|x|√(x² - 1)).

17
Q

What is the derivative of arcsec(x)?

A

1 / (|x|√(x² - 1)).

18
Q

What is the derivative of arccot(x)?

A

-1 / (1 + x²).