MATE formula trigo Flashcards

1
Q

sin(α + β)

A

sin α cos β + cos α sin β

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2
Q

cos(α + β)

A

cos α cos β - sin α sin β

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3
Q

tg(α + β)

A

tg α + tg β
————-
1 - tan α tan β

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4
Q

tg(α - β)

A

tg α - tg β
————-
1 + tan α tan β

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5
Q

sin(α - β)

A

sin α cos β - cos α sin β

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6
Q

cos(α - β)

A

cos α cos β + sin α sin β

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7
Q

sin α + sin β

A

2sin(α + β)/2 x cos (α − β)/2

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8
Q

sin α − sin β

A

2 cos(α + β)/2 x sin(α - β)/2

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9
Q

cos α + cos β

A

2 cos(α + β)/2 x cos(α - β)/2

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10
Q

cos α − cos β

A

-2sin(α + β)/2 x sin (α − β)/2

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11
Q

sin(2a)

A

2 sin a x cos a

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12
Q

cos(2a)

A

cos²a-sin²a

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13
Q

tg(2a)

A

2tga/1-tg²a

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14
Q

sin (a/2)

A

erro 1-cosa/2

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15
Q

cos(a/2)

A

erro 1+cosa/2

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16
Q

tg(a/2)

A

erro 1-cosa/1+cosa