Formule Trigonometrie Flashcards
1
Q
sinx =a
a∈ [-1; 1]
A
=> x ∈ {(-1)^k * arcsin a +kπ | k∈ Z}
2
Q
cosx =a
a∈ [-1; 1]
A
=> x ∈ {±arccos a + 2kπ | k∈ Z}
3
Q
tgx =a
a∈ [-1; 1]
A
=> x ∈ {arctg a + kπ | k∈ Z}
4
Q
ctgx =a
a∈ [-1; 1]
A
=> x ∈ {arcctg a + kπ | k∈ Z}
5
Q
sina - sinb =
A
sina - sinb = 2sin(a-b/2)cos(a+b/2)
6
Q
cosa - cosb=
A
cosa - cosb = -2sin(a-b/2)sin(a+b/2)
7
Q
tga - tgb =
A
tga - tgb = sin(a-b)/cosa*cosb
8
Q
ctga - ctgb =
A
ctga - ctgb = sin(b-a)/sina*sinb
9
Q
sinx =0
A
=> x =kπ
