Trigformler Flashcards
(19 cards)
1
Q
tan(x)
A
=1/cot(x)=sin(2x)/(1+cos(2x))=1−cos(2x)/sin(2x)
2
Q
sin^2(x)+cos^2(x)
A
=1
3
Q
sin(x+y)
A
=sin(x)cos(y)+sin(y)cos(x)
4
Q
sin(x−y)
A
=sin(x)cos(y)−sin(y)cos(x)
5
Q
cos(x+y)
A
=cos(x)cos(y)−sin(x)sin(y)
6
Q
cos(x−y)
A
=cos(x)cos(y)+sin(x)sin(y)
7
Q
tan(x+y)
A
=(tan(x)+tan(y))/(1−tan(x)tan(y))
8
Q
tan(x−y)
A
=(tan(x)−tan(y))/(1+tan(x)tan(y))
9
Q
sin(2x)
A
=2sin(x)cos(x)
10
Q
cos(2x)
A
=cos^2(x)−sin^2(x)=2cos^2(x)−1=1−2sin^2(x)
11
Q
sin^2(x/2)
A
=(1−cos(x))/2
12
Q
cos^2(x/2)
A
=(1+cos(x))/2
13
Q
tan^2(x/2)
A
=(1−sin(x))/(1+cos(x))
14
Q
cot^2(x/2)
A
=(1+cos(x))/(1−cos(x))
15
Q
sin(x)+sin(y)
A
=2sin((x+y)/2)cos((x−y)/2)
16
Q
sin(x)-sin(y)
A
=2sin((x-y)/2)cos((x+y)/2)
17
Q
cos(x)+cos(y)
A
=2cos((x+y)/2)cos((x−y)/2)
18
Q
cos(x)-cos(y)
A
=−2sin((x+y)/2)sin((x−y)/2)
19
Q
A
