AP Pre-Calculus Trigonometry Identities

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Reciprocal, quotient, double angle, and sum and difference Pre-Calculus Trigonometric Identities.

21 Terms

1

tan x (quotient identity)

(sin x)/(cos x)

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2

cot x (quotient identity)

(cosx)/(sinx)

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3

sin²x+cos²x

1

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4

1 + cot²x

csc²x

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5

1+tan²x

sec²x

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6

cos(A + B)

cosAcosB - sinAsinB

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7

cos(A - B)

cosAcosB + sinAsinB

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8

sin(A + B)

sinAcosB + sinBcosA

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9

sin(A - B)

sinAcosB - sinBcosA

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10

sin x

1/(csc x)

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11

csc x

1/(sin x)

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12

cos x

1/(sec x)

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13

sec x

1/(cos x)

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14

tan x (reciprocal identity)

1/(cot x)

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15

cot x (reciprocal identity)

1/(tan x)

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16

sin(2x) (expanded)

sinxcosx + sinxcosx

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17

sin (2x) (simplified)

2sinxcosx

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18

cos(2x) (expanded)

cosxcosx - sinxsinx

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19

cos(2x) (simplified with both sine and cosine)

cos²x - sin²x

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20

cos(2x) (simplified with only sine)

1 - 2sin²x

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21

cos(2x) (simplified with only cosine)

2cos²x - 1

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