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Oefeningen H1 goniometrie
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Oefeningen H1 goniometrie
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GONIOMETRIEganiometria p
26.PaG
M %.. A
.
tamn c cat Sin
"
0s'
O t
'
n a o o
.
.
.
:
sin Losto togha Sirs
?o
?o
6 sinzar
os-a
=
sim I
ar t cog o
2
=
t
2. Sina Los + Cos + sin a
"
o a
?a
.
=
sint o + ar +
.
a cos a
sim?
,
Los o
"
C
0s?
"
sinz
:
los a E Sin o tcost o + o
?
?
3
+ 2
Sim
= a
o
C
.1
0s2
h
=
?
3. Cos or o - sim o lose
-sinz
?
a
c 0- sin o
0s
ccosatsin ob Llosa coso acoso
,
=
-sino)
-sino
-
asio
=
I atsin or 2 gim o coso
3?
os
4
=
sinocose + 2 0-
I
a +2 sin a coso
os?
sin
los z
-
otsin o
?
=
ul
4.41+ Sina a t W
23
205+ o
3?+
61+ a ( cos o
5
Sam
.
=1+ 3 Sin a tH
2. 0 thos o r sin 4052
"
ar
+
Si 105' +2
t o
1
a
"
:
Q 73 Siont 2 sin 7 a C
sim
ta or + 2 G 0 7 0
?o
o
054
052
og?
=
2 + 24 + hos a +2 Cos ar + si af co
?
sait or sina or
5"a
+
"
3
=
2 42. 1 +2 lost a sine or sim a t ho a
5"
+
=
4 + E sin thosl 32
?
a o
: Et f t
=
5
S ( o r Luttana secars
+
Cat
Ht
.
-Csca).
bind noso
I
=1+
Yoso
LSO Sieso
-Sima.
+
+
sim Losa
+sim
=
ot coso a +1
-1.
sina coso
=
( 205 o 4 o simaxe
+
sinat
c0s
-13.
1
simar cosar
sim t sit at s
"
=
o a o + o t cos losa sin o
thos o ar
'
a
-sim
hos
sim
-
-n
sin o coso
sin
=
2 a cosa t re = 2
-t
sin o cos o
, 1. 6.2
2
uit
'
1 '
a2 toon aan
. ✗ Cosa -
y sino
= a en ✗ Sin ✗ +
y Cosa = b
volgt ✗ +
y
= + b .
2 2 2
al ( sino ) ( ✗ sino +
b
ycos a)
+ ✗ Cosa +
y
= -
2
2
> 2
sino Cosa 2 '
y 2652
✗ sinz 5in
y sino
=
cos 2x LL
✗
y +
y
a t ✗ a t 2 ✗ Cosa + a =
-
2 2
✗ 652 t 2 S in 2
✗ Sin 2 2
COS 2 LL
✗
y + ✗ t
y o
a =
'
✗ ( los La t 5in 2 a ) t
y
2
( 5 in
2
✗ + cos
<
a) =
LL
2
✗ +
y
2
= a
'
t 5
2 .
tot ✗ + cot 8 = wat o .
wat P
tano +
tanp
wat B
cd o RL
+ =
+ ^
Cato
cotp
Cot o + Cot B = RL
Cot B + Cat a
Cat dat p
Cat a t Cat B.cat ✗ Cot B = RL
cotp + cato
Cat a Cat B = RL
3 .
( toen2 ✗ .
toen B
'
-1 ) Sin 2
.
a .
Sin 2 B = tan
2
✗ .
toen 2 B ( Sin 2 B -
cos 2x )
gin 20 .
Sin B 2
- ^
.
Sin 2
✗ .
Sin 2
f = RL
•g < , los < B
Sin 2x Sin 2ps Sin a Sin 2ps -
Sin 2
a Sin 2ps =
RL
cos 20 los 28
( Sin 2 Sin 2ps p)
'
s in
2
Sin Sin Sin 2ps 652
✗
2ps a ✗ Cos ✗
-
GSI a Gs 2
P
Sin " ✗ s in 4 B -
( Sin 2 a Sin 2 Bos ' ✗ cos
<
B)
652 ✗ 652 P
s in 2
✗ s in
2
B ( Sin 2 ✗ 5m28 -
los < ✗ cos ? f)
Cosio cos 2
P
toen 2 ✗ toen 2ps [ ( 1 -
cos 2x ) sinzp
-
(1- sinzp ) los zo ]
toen 2 × toen 2ps ( Sin 2ps -
cos 2 ✗ sinzf -
cos ? ✗ + cos 2x Sin 2ps )
toen 2 toen ? 652 a)
✗
p ( Sin 2ps
-
4 5 in 30° toen 30 ? ? ?
21 cos 30° ? Cot 30°
=
.
; =
, ,
=
^
30° 65300 =
2
>
toen 30° =
3
lot 30° = VT
5 toen 45
°
; bereken s in 45° ? ?
. = 1 =
; cos 45° =
s in 45° = V7
2
los 45
°
= TE
2
ij
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