Trigonometrie Flashcards
1
Q
1 + tan^2(x)
A
1/Cos^2(x)
2
Q
1 + cotan^2(x)=
A
1/sin^2(x)
3
Q
Cos (a+b) =
A
Cos a Cos b - Sin a Sin b
4
Q
Cos (a -b) =
A
Cos a Cos b + Sin a Sin b
5
Q
Sin (a+b)
A
sinacosb+sinbcosa
6
Q
Sin (a-b)=
A
sinacosb - sinbcosa
7
Q
Cos (2a) =
A
= cos2 a − sin2 a
= 2 cos2 a − 1
= 1 − 2 sin2 a
8
Q
Sin (2a) =
A
= 2 Sin a Cos a
9
Q
Tan (2a)=
A
= 2 tan a / 1−tan2 a
10
Q
Tan (a+b) =
A
= tan (a) +Tan (b) / 1−Tan a Tan b
11
Q
Tan (a -b)=
A
= tana−tanb / 1+tanatanb
12
Q
Cos a Cos b =
A
=(1/2)(cos(a−b)+cos(a+b))
13
Q
Sin a Sin b =
A
= (1/2) (cos(a−b)−cos(a+b))
14
Q
Sin a Cos b =
A
= (1/2)(sin(a+b)+sin(a−b))
15
Q
cos^2 (a) =
A
1+cos(2a)
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2