trigonometria Flashcards

1
Q

cos 3a

A

4cos^3 a - 3 cos a

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2
Q

sen 3a

A

3 sen a - 4 sen^3 a

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3
Q

sen 2a

A

2 sen a cos a

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4
Q

cos 2a

A

• cos^2 a - sen^2 a
• 2 cos^2 a - 1
• 1 - 2 sen^2 a

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5
Q

tg 2a

A

2 tg a / (1- tg^2 a)

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6
Q

sen a + sen b

A

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

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7
Q

sen a - sen b

A

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

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8
Q

cos a + cos b

A

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

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9
Q

cos a - cos b

A

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

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10
Q

tg a + tg b

A

sen (a+b) / (cos a cos b)

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11
Q

tg a - tg b

A

sen (a-b)/(cos a cos b)

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12
Q

1/4 sen 3x

A

sen x • sen (60-x) • sen (60+x)

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13
Q

1/4 cos 3x

A

cos x • cos (60-x) • cos (60 + x)

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14
Q

tg 3x

A

tg x • tg (60-x) • tg (60+x)

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15
Q

2 cos a cos b

A

cos (a-b) + cos (a+b)

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16
Q

lei dos cossenos

A

c^2 = a^2 + b^2 - 2 a b cos C

17
Q

lei dos senos

A

a/senA = b/senB = c/senC = 2R