Trigonometric and Hyperbolic Identities Flashcards
(12 cards)
1
Q
cos²θ =
A
(1/2)(1 + cos2θ)
2
Q
sin²θ =
A
(1/2)(1 - cos2θ)
3
Q
sinθcosθ =
A
(1/2)sin2θ
4
Q
tan²θ =
A
sec²θ - 1
5
Q
sec²θ =
A
tan²θ +1
6
Q
sinh2θ =
A
2sinhθcoshθ
7
Q
cosh2θ =
A
cosh²θ + sinh²θ
2cosh²θ - 1
2sinh²θ + 1
8
Q
cosh²θ =
A
(1/2)(cosh2θ + 1)
9
Q
sinh²θ =
A
(1/2)(cosh2θ - 1)
10
Q
tanh2θ =
A
(2tanhθ)/(1 + tanh²θ)
11
Q
tanh²θ =
A
1 - sech²θ
12
Q
sech²θ =
A
1- tanh²θ
