Exponent and Trig Rules Flashcards
1
Q
a^x ⋅ a^y = ?
A
a^(x + y)
2
Q
(ab)^x = ?
A
a^x ⋅ b^x
3
Q
(a^x)/(a^y) = ?
A
a^(x - y)
4
Q
(a/b)^x = ?
A
(a^x)/(b^x)
5
Q
tan(x) = ?/?
A
sin/cos
6
Q
sec(x) = ?
A
1/cos(x)
7
Q
csc(x) = ?
A
1/sin(x)
8
Q
cot(x) = ?
A
1/tan(x)
9
Q
When does sin(x) = 0?
A
At whole number multiples of π
(… -2π, -π, 0, π, 2π, 3π …)
10
Q
When does cos(x) = 0?
A
x = π/2 + 2πR, where R = any whole number constant
(… -3π/2, -π/2, π/2, 3π/2, 5π/2 …)
11
Q
When does tan(x) = 0 or undefined?
A
0 at whole number multiples of π
(… -2π, -π, 0, π, 2π, 3π …)
Undefined at x = π/2 + 2πR, where R = any whole number constant
(… -3π/2, -π/2, π/2, 3π/2, 5π/2 …)
