Trig identities 1/30

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Pre-Calculus

21 Terms

1

sin2x

2sinxcosx

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2

cos2x : 1

cos²x-sin²x

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3

cos2x : 2

1-2cos²x

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4

cos2x : 3

2sin²x - 1

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5

tan2x

2tanx / 1 - tan²x

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6

sin²x

1-cos2x/2

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7

cos²x

1+cosx/2

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8

tan²x

1-cosx/1+cosx

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9

sin (x/2)

+-sqrt (1-cosx/2)

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10

cos (x/2)

+-sqrt (1+cosx/2)

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11

tan (x/2)

+- sqrt (1-cosx/1+cosx)

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12

tan (x/2) : 2

1-cosx/sinx

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13

tan (x/2) : 3

sinx/1+cosx

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14

sinasinb

½ [cos (a - b) - cos (a+b)]

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15

cosacosb

½[cos (a - b) + cos (a + b)]

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16

sinacosb

½[sin (a+b) + sin (a-b)]

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17

cosasinb

½[sin (a+b ) - sin (a-b)]

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18

sina + sinb

2sin(a+b/2)cos(a-b/2)

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19

sina - sinb

2cos(a+b/2)sin(a-b/2)

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20

cosa + cosb

2cos(a+b/2)cos(a-b/2)

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21

cosa - cosb

-2sin(a+b/2)sin (a-b/2)

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