Trig Identities Flashcards

1
Q

what is the reciprocal of sin x ?

A

1/cosec x

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2
Q

what it the reciprocal of cos x ?

A

1/sec x

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3
Q

what is the reciprocal of tan x ?

A

1/cot x

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4
Q

what it the reciprocal of cosec x ?

A

1/ sin x

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5
Q

what it the reciprocal of sec x ?

A

1/ cos x

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6
Q

what is the reciprocal of cot x ?

A

1/ tan x

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7
Q

what is tan x in terms of sin and cos?

A

sin x / cos x

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8
Q

what is cot x in terms of sin and cos?

A

cos x /sin x

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9
Q

what is 1 in terms of sin x and cos x?

A

1 = sin^2 x + cos^2 x

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10
Q

what does 1 + tan^2 x equate to

A

sec^2 x

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11
Q

what does 1 + cot^2 x equate to

A

cosec^2 x

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12
Q

what is sin (A+B)

A

sinAcosB+sinBcosA

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13
Q

what is cos (A+B)

A

cosAcosB-sinAsinB

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14
Q

what is tan(A+B)

A

tanA+tanB / 1-tanAtanB

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15
Q

what is sin 2x

A

2sinxcosx

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16
Q

what is cos 2x

A

cos^2 x -sin^2 x
1-2sin^2 x
2cos^2 x-1

17
Q

what is tan 2x

A

2 tan x /1-tan^2 x

18
Q

how often does sin repeat

A

every 360 or 180 -x

every 2pie or pie - x

19
Q

how often does tan repeat

A

every 180

every pie

20
Q

how often does cos repeat

A

-x
every 360
every 2pie

21
Q

what do we use for small angle identities

A

cos x = 1- x^2/2
sin x = x
tan x = x

22
Q

what is the co sine rule

A

a^2=b^2+c^2-2bc cosA