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25 Cards in this Set
- Front
- Back
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Sum and Difference Formulas: cosine |
Cos(A+B)= cosAcosB - sinAsinB Cos(A-B)= cosAcosB + sinAsinB |
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Sum and Difference Formulas: sine |
Sin(A+B)= sinAcosB + cosAsinB Sin(A-B)= sinAcosB - cosAsinB |
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Sum and Difference Formulas: tangent |
Tan(A+B)= tanA + tanB / 1 - tanAtanB Tan(A-B)= tanA - tanB / 1 + tanAtanB |
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Double Angle Formulas: sine |
Sin2A= 2sinAcosA |
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Double Angle Formulas: cosine |
Cos2A= cos^2A - sin^2A Cos2A= 1 - 2sin^2A Cos2A= 2cos^2A - 1 |
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CosA in terms of Sin |
CosA= -(✔1 - sin^2A) |
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Half Angle Formulas: sine |
Sin(A/2)= + or - [✔(1 - CosA) / 2] |
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Half Angle Formulas: cosine |
Cos(A/2)= + or - [✔(1 + cosA) / 2] |
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Half Angle Formulas: tangent |
Tan(A/2)= (1 - cosA) / sinA Tan(A/2)= sinA / (1 + cosA) |
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SinA in terms of Cos |
SinA= -(✔1 - cos^2A) |
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Heron's Formula for SSS |
s = (a + b + c) / 2 s - a, s - b, s - c A= [✔s (s-a) (s-b) (s-c)] |
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Product to Sum Formulas: sinAcosB |
sinAcosB= 1/2 [sin(A + B) + sin(A - B)] |
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Product to Sum Formulas: cosAsinB |
CosAsinB= 1/2 [sin(A + B) - sin(A - B)] |
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Product to Sum Formulas: cosAcosB |
CosAcosB= 1/2 [cos(A + B) + cos(A - B) |
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Product to Sum Formulas: SinAsinB |
SinAsinB= 1/2 [cos(A -B) - cos(A + B)] |
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Sum to Product Formulas: sinA + sinB |
SinA + sinB= 2sin [(A + B) / 2] cos [(A - B) / 2] |
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Sum to Product Formulas: sinA - sinB |
SinA - sinB= 2cos [(A + B) / 2] sin[(A - B) / 2] |
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Sum to Product Formulas: cosA + cosB |
CosA + cosB= 2cos [(A + B) / 2] cos[(A - B) / 2] |
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Sum to Product Formulas: cosA - cosB |
CosA - cosB= -2sin [(A + B) / 2] sin[(A - B) / 2] |
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Sum and Difference Formulas: cosine |
Cos(A + B)= cosAcosB - sinAsinB Cos(A - B)= cosAcosB + sinAsinB
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Double Angle Formula: tangent |
Tan2A= (2tanA) / 1 - tan^2A |
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AAS Formula |
s= (c^2 sinAsinB) / 2sinC |
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Law of Sines - AAS & ASA |
SinA/a = sinB/b = sinC/c |
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Law of Cosines - SAS |
c^2 = a^2 + b^2 - 2ab cosC a^2 = b^2 + c^2 - 2bc cosA b^2 = a^2 + c^2 - 2ac cosB |
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SAS Area |
A= 1/2x^2 [(sinAsinB) / sinC] |
