Trig Identities Flashcards
1
Q
cos^2(θ) + sin^2(θ)
A
1
2
Q
cos(x+y)
A
(cos x)(cos y) - (sin x)(sin y)
3
Q
sin(x+y)
A
(sin x)(cos y) + (sin y)(cos x)
4
Q
cos(2θ)
A
cos^2(θ) - sin^2(θ)
5
Q
sin(2θ)
A
2(sin θ)(cos θ)
6
Q
Chain Rule
A
f’(g(x)) * g’(x)
7
Q
lim sin x
x->0 x
A
1
8
Q
lim cos x - 1
x->0 x
A
0
9
Q
f(x) = sin (x)
A
f’(x) = cos (x)
10
Q
f(x) = cos (x)
A
f’(x) = -sin (x)
11
Q
f(x) = tan (x)
A
f’(x) = sec^2 (x)
12
Q
f(x) = cot (x)
A
f’(x) = -csc^2 (x)
13
Q
f(x) = sec (x)
A
f’(x) = sec (x) * tan (x)
14
Q
f(x) = csc (x)
A
f’(x) = -csc (x) * cot (x)
15
Q
Product Rule
A
f’(x) * g(x) + g’(x) * f(x)