MATH 105 Midterm: MATH 105 2010 Winter Test 2 formulas

• School: UBC
• Department: Mathematics
• Course: MATH 105
• Professor: All

Document Summary

Math 105 final exam formula sheet: trigonometric formulas: sin2(x) + cos2(x) = 1 tan2(x) + 1 = sec2(x) sin(2x) = 2 sin(x) cos(x) cos(2x) = cos2(x) sin2(x) sin2(x) = 2 cos(2x) sin(x + y) = sin(x) cos(y) + sin(y) cos(x: values of trigonometric functions: 2 cos(x + y) = cos(x) cos(y) sin(x) sin(y) 0: derivatives of inverse trigonometric functions: tan 1(x) = arctan(x) sin 1(x) = arcsin(x) 1 x2 d dx tan 1 x = Midpoint rule for r b a f (x)dx, with x = b a n , xk = a + k x: Trapezoid rule for r b a f (x)dx, with x = b a n , xk = a + k x: Expected value: e(x) = a1p1 + a2p2 + + anpn.