C3 Formulas 1.0 / 5 MathematicsALLA2/A-levelEdexcel Created by: sarxhjCreated on: 26-01-15 10:23 cosecx 1/sinx 1 of 36 secx 1/cosx 2 of 36 cotx 1/tanx 3 of 36 Trig Indentity 1 cos^2x + sin^2x = 1 4 of 36 Trig Identity 2 sec^2x = 1 + tan^2x 5 of 36 Trig Identity 3 cosec^2x = 1 + cot^2x 6 of 36 sin (A + B) = sinA cosB + cosA sinB 7 of 36 sin (A - B) = sinA cosB - cosA sinB 8 of 36 cos (A + B) = cosA cosB - sinA sinB 9 of 36 cos (A - B) = cosA cosB + sinA sinB 10 of 36 tan (A + B) = tanA + tanB / 1 - tanA tanB 11 of 36 tan (A - B) = tanA - tanB / 1 + tanA tanB 12 of 36 sin2A = 2sinA cosA 13 of 36 cos2A = cos^2A - sin^2A OR =2cos^2A - 1 OR = 1 - 2sin^2A 14 of 36 tan2A = 2tanA / 1 - tan^2A 15 of 36 asinx ± bcosx = Rsin (x ± a) 16 of 36 acosx ± bsinx = Rcos (x ∓ a) 17 of 36 sinA + sinB = 2sin (A + B / 2) cos (A - B / 2) 18 of 36 sinA - sinB = 2cos (A + B / 2) sin (A - B / 2) 19 of 36 cosA + cosB = 2cos (A + B / 2) cos ( A - B / 2) 20 of 36 cosA - cosB = -2sin (A + B / 2) sin (A - B / 2) 21 of 36 lnx + lny = ln(xy) 22 of 36 lnx - lny = ln(x/y) 23 of 36 lnx^k = k lnx 24 of 36 e^lnx = x 25 of 36 ln (e^x) = x 26 of 36 when y=e^x dy/dx = e^x 27 of 36 when y=lnx dy/dx = 1/x 28 of 36 when y=sinx dy/dx = cosx 29 of 36 when y=cosx dy/dx = -sinx 30 of 36 when y=tanx dy/dx = sec^2x 31 of 36 Product rule y=u(x)v(x) then dy/dx = u dv/dx + v du/dx 32 of 36 Quotient rule y=u(x) / v(x) then dy/dx = v du/dx - u dv/dx // v^2 33 of 36 y = cosecx dy/dx = -cosecx cotx 34 of 36 y = secx dy/dx = secx tanx 35 of 36 y = cotx dy/dx = -cosec^2x 36 of 36

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