Studied by 4 people
When x = a^n, give an equation for n.
n = log a x for a > 0, x > 0
Give log a(x) + log a(y).
log a(x) + log a(y)= log a(xy)
Give log a(x) - log a(y)
log a(x) - log a(y) = log a(x/y)
Simplify log a(x^k)
log a(x^k) = k log a(x)
Give an equation for the nth term of an arithmetic sequence.
un = u1 + (n - 1)d
Give the equation for the nth term of a geometric sequence.
un = ar^(n-1)
If sin² x + cos² x = 1, give equations for sec² x and cosec² x.
sec² x = 1 + tan² x
cosec² x = 1 + cot² x
Give the double angle formula for sine.
sin 2A = 2 sin A cos A
Give the double angle formula for cosine.
cos 2A = cos² A - sin² A = 2cos² A - 1 = 1 - 2sin² A
Give the double angle formula for tangent.
tan 2A = 2tan A / (1 - tan² A)
Give the equation of an arc length.
s = rΘ
s = arc length, r = radius, Θ = angle in radians.
Give the area of a sector of a circle.
A = ½ r² Θ
A = area of a sector, r = radius, Θ = angle in radians
