Goniometrische vergelijkingen
Trigonometric equations

10gvgl. cos x = 0
11gcos x = 0 ⇔ ?
12gsin x = 0 ⇔ ?
13goplossing in II
14gx=90°+k.360°∨x=-90°+k.180°
15gcos (α − 30° ) = ½
16g|sin x | = 1
17g√ (2.sin x) = 1
18g180° oplossing van ?
19g2.cos x + 1 = 0
20gtan α = cot β
21gwelke FOUT ?
22gwelke heeft opln.?
23gtan 2x = − 1
24gtan xop2 = 0 new
30ogoniom.vgnl._(1)
31ogoniom.vgnl._(2) new
32ocos 3x = 0
33ocos 6x = −0,5   opl.verz.
34ocos 6x = −0,5   beeldptn.
35osin²x − 1=0
36otan²x = tanx
37ocos²x = 2cosx
38o2cos²x = sin2x
39ocos 2x + cos x = 0
40o1 + cosx + cos2x=0
41osin²x + sin²2x=0
42osinx+sin3x=1+cos2x
43o2cos²x+3sinx = 2
44osin 2x = 2.sinx
45osin 2x = sinx
46osin 2x + cos 3x = 0
47ocos 3x = cos x
48o2x² − 2x − cos 2α = 0
49okl.p.o. sin 2x + cos 2x = 0
50ocos² x = 0,5
60osin 2x = (cos x − sin x)²
61o2sin² x + sin x − 1 = 0
62otan 2x + 2.tan x = 0
63osin x + sin 2x + sin 3x = 0
64otan 2x = 2  ∨  tan xop2 = 2
65osin 2x = cos 4x
66otan (3x − 10°).tan 40° = 1
67o2.cos² (3x+30°) = 1
68osin x . cos x . tan x = 0
69otan x < cot x new
70o1 + cos x + cos 2x = cos² xop2 new
80r
cosx.cos2x = sinx.sin2x
81rsinx−sin 3x + 2 = 0
82rgon.vgl.(sin,cos)
83rtan x + 2cot x = 3
84r1+sinx+cosx+sin2x+cos2x=0
85r1+sinx+cosx+tanx=0
86rcos x + v3sin x = 1
87r1 + sin 2x = (cos 3x + sin3x) (a)
88r1 + sin 2x = (cos 3x + sin3x)² (b)
89rsin x + sin 2x + sin 3x =...
90rsin⁴x-2sin²x.cos²x=3cos⁴x
91rcos 2x + cos x = 0
92rcos2 x + cos2 2x + cos2 3x = 1
93r1 − cos 6x = tan 3x
94r2 − 4.sin² x − v2puur = 0
95r2.sin x − sin²x = cos x
96r(tan²x − 1).(cot²x − 1) = −12
97r4.sin³x + 2.sin²x − 2.sinx − 1 = 0
98rcos 2α , cos 4α
99r7cos x+3sin x = 5
A0r3cos x+4sin x = 5
A1r2sin x+3cos x+1 = 0
A2rcos x + sin x = v2/2
A3ra.cos x+b.sin x = c
A4rcos x . cos 4x = cos 5x
A5rcos x . cos 2x = cos 3x nieuw
A6rf(x) = sin x + sin 2x nieuw
A7rrsinx+cosx+tanx+...=7 nieuw


Radialen (geen verwante hoeken)

  radians (no related angles)


Verwante hoeken

  related angles


Optellingsformules en
  verdubbelingsformules

  sin(α ± β),.., cos 2x, ..., 1 ± cos 2α


Formules van Simpson

  Simpson's Formulas


Grafiek - amplitude - periode

  graph - amplitude - period


Goniometrische vergelijkingen

  trigonometric equations


Cyclometrische functies

  inverse trigonometric functions (cyclometric functions)


Maximum of minimum van
  goniometrische uitdrukkingen

  maximum or minimum of trigonometric expressions





→ telling vanaf 11 aug 2024 ←