Trig Identities Flashcards

1
Q

Sin(2x) = ?

A

2sin(x)cos(x)

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2
Q

cos(2x)= ?

A

cos^2(x)-sin^2(x)

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3
Q

sec -> sec-> tan
csc -> csc -> cot

what is d/dx of tan?

A

sec^2(x)

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4
Q

sec -> sec-> tan
csc -> csc -> cot

what is d/dx of cot?

A

-csc^2(x)

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5
Q

sec -> sec-> tan
csc -> csc -> cot

what is d/dx of sec?

A

sec(x)tan(x)

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6
Q

sec -> sec-> tan
csc -> csc -> cot

what is d/dx of csc?

A

-csc(x)cot(x)

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7
Q

what is d/dx sin?

A

cos(x)

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8
Q

what is d/dx cos?

A

-sin(x)

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9
Q

tan(2x)= ?

A

sin(2x)/cos(2x)

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10
Q

csc(2x)= ?

A

1/sin(2x)

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11
Q

sec(2x)= ?

A

1/cos(2x)

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12
Q

cot(2x)=?

A

cos(2x)/sin(2x)

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13
Q

d/dx arcsin(x)

A

1/sqrt(1-x^2)

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14
Q

d/dx arccos(x) = ?

A

-1/sqrt(1-x^2)

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15
Q

d/dx arctan(x) = ?

A

1/(1+x^2)

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16
Q

d/dx arccsc =?

A

-1/|x|* sqrt(x^2 - 1)

17
Q

d/dx arcsec =?

A

1/|x| sqrt(x^2 -1)

18
Q

d/dx arccot = ?

A

-1/1+x^2