Algebra/Trig. Review Flashcards
0
Q
Sin(a+b)
Sin(a-b)
A
Sina Cosb + Cosa Sinb
Sina Cosb - Cosa Sinb
1
Q
Tanθ
A
Sinθ/Cosθ
2
Q
Even Function
A
f(-x)=f(x)
3
Q
Odd Function
A
f(-x)=-f(x)
4
Q
Domain
A
Look for zeros in the Denominator, and negatives in the Roots.
5
Q
Sum of perfect cubes
A
(a+b)(a^2-ab+b^2)
6
Q
Difference of perfect cubes
A
(a-b)(a^2+ab+b^2)
7
Q
Vertical asymptotes
A
Zeros of the denominator once holes are removed
8
Q
Holes
A
Common factors in the numerator and denominator
9
Q
Horizontal asymptotes
n=d
A
HA @ the ratio of leading coefficients
10
Q
Horizontal asymptotes
n<d
A
HA @ y=0
11
Q
Horizontal asymptotes
n>d
A
No HA
12
Q
Drawing right triangles for trig. functions
A
Use x-axis!
13
Q
Cos(a+b)
Cos(a-b)
A
Cosa Cosb + sina sinb
Cosa Cosb - sina sinb
14
Q
Sin(2θ)
A
2 Sinθ Cosθ
15
Q
Sin^2(θ) + Cos^2(θ)
A
1
16
Q
1+ Tan^2(θ)
A
Sec^2(θ)
17
Q
Cotθ
A
Cosθ/Sinθ
18
Q
Secθ
A
1/Cosθ
19
Q
Cscθ
A
1/Sinθ
20
Q
x^(A/B)
A
B root(x^A)
