THESE ARE MOST IMPORTANT FORMULAE OF TRIGONOMETRY.
1. Sin(A+B) = SinA.CosB+CosA.SinB
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2. sin(A-B) = sinA.cosB-cosA.sinB
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3. cos(A+B) = cosA.cosB-sinA.sinB
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4. cos(A-B) = cosA.cosB+sinA.sinB
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5. tan(A+B) = tanA+tanB/1-tanA.tanB
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6. tan(A-B) = tanA-tanB/1+tanA.tanB
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7. cot(A+B) = cotA.cotB-1/cotB+cotA
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8. cot(A-B) = cotA.cotB+1/cotB-cotA
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9. tan(A+B+C) = tanA+tanB+tanC-tanA.tanB.tanC/1-tanA.tanB-tanB.tanC-tanA.tanC
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10. tan(A-B+C) = tanA-tanB+tanC+tanA.tanB.tanC/1+tanA.tanB+tanB.tanC-tanA.tanC
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11. tan(A+B-C) = tanA+tanB-tanC+tanA.tanB.tanC/1-tanA.tanB+tanB.tanC+tanA.tanC
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12. tan(B+C-A) = tanB+tanC-tanA+tanA.tanB.tanC/1+tanA.tanB-tanB.tanC+tanA.tanC
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13. tan(A-B-C) = tanA-tanB-tanC-tanA.tanB.tanC/1+tanA.tanB-tanB.tanC+tanA.tanC
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14. tanA+tanB/tanA-tanB = sin(A+B)/sin(A-B)
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15.tanA-tanB/tanA+tanB = sin(A-B)/sin(A+B)
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16. sin(A+B)+sin(A-B) = 2sinA.cosB
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17. sin(A+B)-sin(A-B) = 2cosA.sinB
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18. cos(A-B)+cos(A+B) = 2cosA.cosB
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19. cos(A-B)-cos(A+B) = 2sinA.sinB
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20. sin(A+B).sin(A-B) =Sin2A-Sin2B
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21. cos(A+B).cos(A-B) = cos2A-sin2B
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