Y13 Trigs Flashcards
1
Q
sin²x + cos²x =
A
1
2
Q
tanx =
A
sinx/ cosx
3
Q
secx =
A
1/ cosx
4
Q
cosecx =
A
1/ sinx
5
Q
cotx =
A
1/ tanx = cosx/ sinx
6
Q
sec²x =
A
1 + tan²x
7
Q
cosec²x =
A
1 + cot²x
8
Q
sin2A =
A
2sinAcosA
9
Q
cos2A =
3 diff. forms
A
- 1- 2sin²A
- 2cos²A -1
- cos²A - sin²A
10
Q
tan2A =
A
2tanA/ 1-tan²A
11
Q
sin(A±B) =
A
sinAcosB ± cosAsinB
12
Q
cos(A±B) =
A
cosAcosB ∓ sinAsinB
13
Q
tan(A±B) =
A
tanA ± tanB / 1 ∓ tanAtanB
14
Q
chain rule
A
n × f’(x) × [f(x)]ⁿ⁻¹
15
Q
product rule
A
y = uv
dy/dx= u(dv/dx) + v(du/dx)
16
Q
quotient rule
A
y=u/v
dy/dx= [ v(du/dx) - u(dv/dx) ] / v²
17
Q
differentiate eᶠ⁽ˣ⁾
A
f’(x) eᶠ⁽ˣ⁾
18
Q
differentiate ln f(x)
A
f’(x) / f(x)
19
Q
differentiate aˣ
(a is a constant)
A
aˣ ln a
20
Q
differentiate sinkx
A
+ kcoskx
21
Q
difrerentiate coskx
A
- ksinkx
22
Q
differentiate tankx
A
+ ksec²kx
23
Q
differentiate cotkx
A
- kcosec²kx
24
Q
differentiate seckx
A
+ kseckx tankx
25
Q
differentiate coseckx
A
- kcoseckx cotkx
