Goniometrische vergelijkingen
Trigonometric equations

10vgl. cos x = 0
11cos x = 0 ⇔ ?
12sin x = 0 ⇔ ?
13oplossing in II
14x=90°+k.360°∨x=-90°+k.180°
15cos (α − 30° ) = ½
16|sin x | = 1
17√ (2.sin x) = 1
18180° oplossing van ?
192.cos x + 1 = 0
20tan α = cot β
21welke FOUT ?
22welke heeft opln.?
23tan 2x = − 1
30goniom.vgnl.
31cos 3x = 0
32cos 6x = −0,5   opl.verz.
33cos 6x = −0,5   beeldptn.
34sin²x − 1=0
35tan²x = tanx
36cos²x = 2cosx
372cos²x = sin2x
38cos 2x + cos x = 0
391 + cosx + cos2x=0
40sin²x + sin²2x=0
41sinx+sin3x=1+cos2x
422cos²x+3sinx = 2
43sin 2x = 2.sinx
44sin 2x = sinx
45sin 2x + cos 3x = 0
46cos 3x = cos x
472x² − 2x − cos 2α = 0
48kl.p.o. sin 2x + cos 2x = 0
49cos² x = 0,5
50sin 2x = (cos x − sin x)²
512sin² x + sin x − 1 = 0
52tan 2x + 2.tan x = 0
53sin x + sin 2x + sin 3x = 0
54tan 2x = 2  ∨  tan = 2
55sin 2x = cos 4x
56tan (3x − 10°).tan 40° = 1
572.cos² (3x+30°) = 1
58sin x . cos x . tan x = 0
60cosx.cos2x = sinx.sin2x
61sinx−sin 3x + 2 = 0
62gon.vgl.(sin,cos)
63tan x + 2cot x = 3
641+sinx+cosx+sin2x+cos2x=0
651+sinx+cosx+tanx=0
66cos x + sin x = 1
671 + sin 2x = (cos 3x + sin3x)² (a)
681 + sin 2x = (cos 3x + sin3x)² (b)
69sin x + sin 2x + sin 3x =...
70sin⁴x-2sin²x.cos²x=3cos⁴x
71cos 2x + cos x = 0
72cos2 x + cos2 2x + cos2 3x = 1
731 − cos 6x = tan 3x
742 − 4.sin² x − = 0
752.sin x − sin²x = cos x
76(tan²x − 1).(cot²x − 1) = −12
774.sin³x + 2.sin²x − 2.sinx − 1 = 0
78cos 2α , cos 4α
79
7cos x+3sin x = 5
803cos x+4sin x = 5
812sin x+3cos x+1 = 0
82cos x + sin x = v2/2
83a.cos x+b.sin x = c
84cos x . cos 4x = cos 5x
85cos x . cos 2x = cos 3x
86sinx+cosx+tanx+...=7


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





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