Trig Formulas/Identities Flashcards

1
Q

(A^3)-(B^3)?

A

= (A-B)(A^2+AB+B^2)

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2
Q

(A^3)+(B^3)?

A

=(a + b) (a^2 + b^2 - ab)

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3
Q

pythag identity

A

sin^2x+cos^2x=1

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4
Q

sin (A+B)

A

sinAcosB+cosAsinB

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5
Q

sin(A-B)

A

sinAcosB-cosAsinB

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6
Q

cos(A+B)

A

cosAcosB-sinAsinB

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7
Q

cos(A-B)

A

cosAcosB+sinAsinB

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8
Q

tan(A+B)

A

tanA+tanB/1-tanA(tanB)

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9
Q

tan(A-B)

A

tanA-tanB/1+tanA(tanB)

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10
Q

distance formula

A

square root of (x2-x1)^2 + (y2-y1)^2

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11
Q

arc length

A

radius*central angle

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12
Q

arc area

A

1/2r^2central angle

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13
Q

how do you find the period of sec csc

A

graph sine or cosine, go from there!

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14
Q

hertz/frequency calculations

A

frequency=1/period

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15
Q

pthag identity sec

A

1+tan^2x=sec^2x

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16
Q

csc pythag?

A

1+cot^2x=csc^2x

17
Q

sin(pi/2-x)

A

cosx

18
Q

cos(pi/2-x)

A

sinx

19
Q

tan(pi/2-x)

A

cotx

20
Q

sin(-x)

A

-sinx

21
Q

cos(-x)

A

cosx

22
Q

tan(-x)

A

-tanx

23
Q

hertz/frequency?

A

frequency = b/2pi

24
Q

velocity

A

v^2/32*2sinx