P3 Trig Flashcards
1
Q
Inverse functions
A
a function that “reverses” another function
e.g. cos-1(x)
2
Q
Reciprocal functions
A
1 / function
3
Q
Relationship between inverse and reciprocal functions
A
none
they are completely different
4
Q
arccos(x) =
A
cos-1(x)
5
Q
arcsin(x) =
A
sin-1(x)
6
Q
arctan(x) =
A
tan-1(x)
7
Q
sec(x) =
A
1 / cos(x)
8
Q
cosec(x) =
A
1 / sin(x)
9
Q
cot(x) =
A
1 / tan(x) or cos(x) / sin(x)
10
Q
cos^2(x) + sin^2(x) =
A
1
11
Q
1 + tan^2(x) =
A
sec^2(x)
12
Q
1 + cot^2(x) =
A
cosec^2(x)
13
Q
sin2A =
A
2sinAcosA
14
Q
cos2A =
A
cos^2 - sin^A
15
Q
tan2A =
A
2tanA / 1 - tan^2A
16
Q
cos(A + B) =
A
cosAcosB - sinAsinB
17
Q
sin(A - B) =
A
sinAcosB + cosAsinB
18
Q
cos(A - B) =
A
cosAcosB + sinAsinB
19
Q
sin(A + B) =
A
sinAcosB - cosAsinB
20
Q
tan(A + B) =
A
tanA + tanB / 1 - tanAtanB
21
Q
tan(A - B) =
A
tanA - tanB / 1 + tanAtanB
22
Q
sin(2A) =
A
2sinAcosA
23
Q
cos(2A) =
A
cos^2 + sin^2
1 - 2sin^2A
2cos^2A -1
24
Q
tan(2A) =
A
2tanA / 1 - tan^2A
