identities Flashcards

1
Q

sin (a/2) =

A

+- root (1-cos a)/2

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2
Q

cos (a/2)=

A

+- root (1+cos a)/2

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3
Q

tan (a/2)= (3 POSSIBILITIES)

A

+- root (1-cos a)/(1+cos a)
(sin a)/(1+cos a)
(1-cos a)/(sin a)

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4
Q

sin2a =

A

2sinAcosA

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5
Q

cos 2A= (3 POSSIBILITIES)

A

cos^2 A - sin^2 A
1-2sin^2 A
2cos^2 A -1

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6
Q

tan 2A =

A

(2tanA)/(1-tan^2 A)

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7
Q

sin (A+B)=

A

sinAcosB + cosAsinB

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8
Q

sin(A-B)=

A

sinAcosB-cosAsinB

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9
Q

cos (A+B)

A

cosAcosB - sinAsinB

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10
Q

cos(A-B)

A

cosAcosB+sinAsinB

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11
Q

tan(A+B)=

A

(tanA+tanB)/(1-tanAtanB)

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12
Q

tan(A-B)

A

(tanA-tanB)/(1+tanAtanB)

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13
Q

sin/cos=

A

tan

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14
Q

cos/sin

A

cot

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15
Q

sin^2+cos^2

A

1

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16
Q

1+tan^2 =

A

sec^2

17
Q

1+cot^2

A

csc^2

18
Q

sin(-x)=

A

-sin x

19
Q

cos(-x)=

A

cos x

20
Q

tan(-x)

A

-tan x