E: Trigonometry Flashcards
(16 cards)
1
Q
Area of a triangle
A
1/2 ab sinC
2
Q
Sine rule
A
(sinA)/A = (sinB)/B = (sinC)/C
3
Q
Cosine rule
A
a^2 = b^2 + c^2 - 2bc cosA
4
Q
Area of a sector
A
θ/2 * r^2
5
Q
Arc length
A
θr
6
Q
Small angle approximation
A
sinθ=θ
tanθ=θ
cosθ=1-(θ^2)/2
7
Q
Arcsin
A
sin^-1x
- restrict sinx domain to -π/2 and π/2
- draw graph
8
Q
Arccos
A
cos^-1x
- restrict domain from 0 to π
- draw graph
9
Q
Arctan
A
tan^-1x
- restrict domain from -π/2 to π/2
10
Q
tanθ = sinθ/cosθ
A
tanθ = sinθ/cosθ
11
Q
sin^2θ + cos^2θ=
A
1
12
Q
1 + tan^2θ =
A
sec^2θ
13
Q
1 + cot^2θ =
A
cosec^2θ
14
Q
1 =
A
sin^2θ + cos^2θ
15
Q
sec^2θ =
A
1 + tan^2θ
16
Q
cosec^2θ =
A
1 + cot^2θ
