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3069335
Trigonométrie formules usuelles
Description
toutes les formules
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bonsavoir
formule
math
trigo
maths
Mind Map by
bonsavoir.be
, updated more than 1 year ago
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Created by
Low Yee Shen
over 9 years ago
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bonsavoir.be
over 9 years ago
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Resource summary
Trigonométrie formules usuelles
t = tan A/2
tan A = 2t / (1-t²2)
cos A = (1 - t²2) / (1 + t²2)
sin A = 2t / (1 + t²)
Produits
sin A + sin B = 2 sin [(A+B) /2] cos [(A-B) /2]
sin A - sin B = 2 cos [(A+B) /2] sin [(A-B) /2]
cos A + cos B = 2 cos [(A+B) /2] cos [(A-B) /2]
cos A - cosB = - 2 sin [(A+B) /2] sin [(A-B) /2]
Egalités
sin² x+ cos²x =1
1 + tan² x = (1/cosx)²
1+cot² x = (1/sinx)²
Sommes
sin (A+B) = sin A cos B + cos A sin B
cos (A+B) = cos A cos B - sin A sin B
tan (A+B) = (tan A+ tan B) / (1 - tanA tanB)
sin (A-B) = sin A cos B - cos A sin B
cos (A-B) = cos A cos B + sin A sin B
tan (A-B) = (tan A - tan B) / (1 + tanA tanB)
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