Trig/Hyp identities Flashcards
1
Q
sin(A + B) =
A
sinAcosB + cosAsinB
2
Q
cos(A + B) =
A
cosAcosB - sinAsinB
3
Q
tan(A + B) =
A
(tanA + tanB) / (1 - tanAtanB)
4
Q
cos(π/3) = sin(π/6) =
A
1/2
5
Q
sin(π/3) = cos(π/6) =
A
√3/2
6
Q
sin(π/4) = cos(π/4) =
A
1/√2
7
Q
cosh(x) =
A
(eˣ + e⁻ˣ) / 2
8
Q
sinh(x) =
A
(eˣ - e⁻ˣ) / 2
9
Q
tanh(x) =
A
(eˣ - e⁻ˣ) / (eˣ + e⁻ˣ)
10
Q
cosh²(x) - sinh²(x) =
A
1 ( = cos²(x) + sin²(x) )
11
Q
1 - tanh²(x) =
A
sech²(x)
12
Q
coth²(x) - 1 =
A
cosech²(x)
13
Q
sinh(x + y) =
A
sinh(x)cosh(y) + cosh(x)sinh(y)
14
Q
cosh(x + y) =
A
cosh(x)cosh(y) + sinh(x)sinh(y)
15
Q
cosh²(x) =
A
(cosh(2x) + 1) / 2
16
Q
sinh²(x) =
A
(cosh(2x) - 1) / 2
