Trigonometrie Flashcards
(37 cards)
1 + tan^2(x)
1/Cos^2(x)
1 + cotan^2(x)=
1/sin^2(x)
Cos (a+b) =
Cos a Cos b - Sin a Sin b
Cos (a -b) =
Cos a Cos b + Sin a Sin b
Sin (a+b)
sinacosb+sinbcosa
Sin (a-b)=
sinacosb - sinbcosa
Cos (2a) =
= cos2 a − sin2 a
= 2 cos2 a − 1
= 1 − 2 sin2 a
Sin (2a) =
= 2 Sin a Cos a
Tan (2a)=
= 2 tan a / 1−tan2 a
Tan (a+b) =
= tan (a) +Tan (b) / 1−Tan a Tan b
Tan (a -b)=
= tana−tanb / 1+tanatanb
Cos a Cos b =
=(1/2)(cos(a−b)+cos(a+b))
Sin a Sin b =
= (1/2) (cos(a−b)−cos(a+b))
Sin a Cos b =
= (1/2)(sin(a+b)+sin(a−b))
cos^2 (a) =
1+cos(2a)
___________
2
Sin ^2 (a) =
1-cos(2a)
___________
2
Cos p + Cos q =
2 Cos ((p+q)/2) Cos ((p-q)/2)
Cos p - Cos q =
-2 Sin ((p+q)/2) sin ((p-q)/2)
Sin p + Sin q =
2 Sin ((p+q)/2) Cos ((p-q)/2)
Sin p - Sin q =
2 Sin ((p-q)/2) Cos ((p+q)/2)
1 + Cos x =
2 Cos ^2 (x/2)
1 - Cos (x) =
2 Sin ^2 (x/2)
Cos (3x) =
4 Cos^3(x) -3 Cos (x)
Sin (3x) =
= 3 Sin (x) - 4 Sin ^3 (x)
