All Flashcards
sin(A ± B) =
sinAcosB ± cosAsinB
cos(A ± B) =
cosAcosB ∓ sinAsinB
sin2A =
2sinAcosA
cos2A =
cos(squared)A - sin(squared)A
or
2cos(squared)A - 1
or
1 - 2sin(squared)A
sin(squared)A + cos (squared)A =
1
sinA / cosA =
tanA
Partial Fractions: distinct linear factors
ax + b / (cx + d)(ex + f) =
A / (cx + d) + B / (ex + f)
Partial Fractions: repeated linear factor
ax(squared) + bx + c /(dx + e) (fx +g)(squared)
A / (dx + e) + B / (fx + g) + C / (fx + g)(squared)
Partial Fractions: irreducible quadratic
ax(squared) + bx + c / (dx + e)(fx(squared) + gx + h)
A / (dx + e) + Bx + C / (fx(squared) + gx + h)
Calculus is always done in degrees or radians?
Radians
Product Rule:
k(x) = f(x) . g(x)
k’(x) =
f’(x) . g(x) + f(x) . g’(x)
Quotient Rule:
k(x) = f(x) / g(x)
k’(x) =
f’(x) . g(x) - f(x) . g’(x) / (g(x))(squared)
1 / cos(x) =
sec(x)
1 / sin(x) =
cosec(x)
1 / tan(x) = cos(x) / sin(x) =
cot(x)