All Trig Identities Flashcards

1
Q

cosec x is the same as

A

1/sin x

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2
Q

sec x is the same as

A

1/cos x

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3
Q

tan x is the same as

A

sin x / cos x

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4
Q

cot x is the same as

A

cos x / sin x AND/OR 1/tan x

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5
Q

sin^2 x + cos^2 x is the same as

A

1

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6
Q

1 - sin^2 x is the same as

A

cos^2 x

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7
Q

1 - cos^2 x is the same as

A

sin^2 x

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8
Q

tan^2 x + 1 is the same as

A

sec^2 x

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9
Q

1 + cot^2 x is the same as

A

cosec^2 x

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10
Q

sin(2x) is the same as

A

2sinxcosx

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11
Q

cos(2x)

A

cos^2x - sin^2x

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12
Q

cos(2x)

A

2cos^2x - 1

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13
Q

cos(2x)

A

1 - 2sin^2x

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14
Q

tan(2x)

A

2tanx / 1 - tan^2 x

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15
Q

sin(A+B)

A

sinAcosB + cosAsinB

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16
Q

sin(A-B)

A

sinAcosB - cosAsinB

17
Q

cos(A+B)

A

cosAcosB - sinAsinB

18
Q

cos(A-B)

A

cosAcosB + sinAsinB

19
Q

tan(A+B)

A

tanA + tanB / 1 + tanAtanB

20
Q

tan(A-B)

A

tanA - tanB / 1 - tanAtanB

21
Q

What is arctan equal to

A

tan-1

22
Q

What is arccos equal to

A

cos-1

23
Q

What is arcsin equal to

A

sin-1

24
Q

Domain of y = arcsin x

A

-1 <= x <= 1

25
Q

Range of y = arcsin x

A

-90 <= x <= 90

26
Q

Domain of y = arccos x

A

-1 <= x <= 1

27
Q

Range of arccos x

A

0 <= x <= 180

28
Q

Domain of y = arctan x

A

x E R

29
Q

Range of y = arctan x

A

-90 <= x <= 90