Unit 7: Formulas Review Flashcards
1
Q
sin2(x) + cos2(x) =
A
1
2
Q
tan2(x) + 1 =
A
sec2(x)
3
Q
1 + cot2(x) =
A
csc2(x)
4
Q
sin(-x) =
A
- sin(x)
5
Q
cos(-x) =
A
cos(x)
6
Q
tan(-x) =
A
-tan(x)
7
Q
sin (π/2 - x) =
A
cos (x)
8
Q
tan (π/2 - x) =
A
cot (x)
9
Q
cos (π/2 - x) =
A
sin (x)
10
Q
sin (s + t) =
A
cos(t)sin(s) + cos(s)sin(t)
11
Q
cos (s + t) =
A
cos(s)cos(t) - sin(s)sin(t)
12
Q
tan (s+t) =
A
(tan(s) + tan(t)) / (1-tan(s)tan(t))
13
Q
Asin(x) + Bcos(x) =
A
ksin(x + Φ)
where k = √A2 + B2
and Φ satisfies:
cosΦ = A/k
sinΦ = B/k
14
Q
sin(2x) =
A
2sin(x)cos(x)
15
Q
cos(2x) =
A
cos2(x) - sin2(x)
OR 1 - 2sin2(x)
OR 2cos2(x) - 1
16
Q
tan(2x)
A
2tan(x) / 1-tan2(x)
17
Q
sin2(x)
A
1-cos(2x)/2
18
Q
cos2(x) =
A
1+cos(2x)/2
19
Q
tan2(x)
A
1-cos(2x)/1+cos(2x)
20
Q
sin (u/2) =
A
+-√1-cos(u) / 2
21
Q
cos(u/2) =
A
+-√1+cos(u)/2
22
Q
tan(u/2)
A
1-cos(u)/sin(u)
