Trig Identities Flashcards
1
Q
tanθ =
A
sinθ/cosθ
2
Q
cotθ =
A
cosθ/sinθ
3
Q
Pythagorean Identity _____ + _____ =1
A
sin^2 θ + cos^2 θ
4
Q
1 + ____ = sec^2θ
A
tan^2 θ
5
Q
1 + _____ = csc^2 θ
A
cot^2 θ
6
Q
sin(a±b) =
A
sinacosb ± cosasinb
7
Q
cos(a±b)
A
cosacosb ∓sinasinb
8
Q
sin(2a) =
A
2sinascosb
9
Q
cos(2a) list 3]
A
= 2cos^2 θ − 1
= 1 − 2sin^2 θ
= cos^2 θ − sin^2 θ
10
Q
lim (f(x)+-g(x) =
x-a
A
lim f(x) +- limg(x) =L+- M x-a x-a
11
Q
lim (cf(x)) =
x-a
A
c * lim f(x) = c*L
x-a
12
Q
lim(f(x)*g(x)
x-a
A
lim f(x) * limg(x)= L*M x-a x-a
13
Q
lim(f(x)/g(x)
x-a
A
lim f(x) / limg(x) = L/M x-a x-a
14
Q
lim C
x-a
A
C
15
Q
lim(f(x))^n
x→a
A
(limf(x))^n=L^n
x→a
