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Summary Trigonometrie Graad 11 Opsomming R50,00
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Summary Trigonometrie Graad 11 Opsomming

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Trigonometrie graad 11 wiskunde opsomming.

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  • January 21, 2025
  • 8
  • 2024/2025
  • Summary
All documents for this subject (167)
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bellez
Trigonometrie
Reduksies
900
Formules :
-


Sin (180 -) = + Sing

cos(180-0) = -coso

tan(i8o-Ol -tang =
Sin is positief Aals is positief
150 - E 360 +o

Sin (180 + 0) = -Sind 1808
↳ > 0 % 360
cosliso + ol = -
cos

tan (180 + 0) = + an O Tan is positief Cos is positief
180 + 0 360 -
0

Sin (360-0) = -Sing

cos(360 f)-
= + cost

tan (360-0) = - tano
oa
Groter as 360

Sin (360 + 0) = Sind
Voorbeelde
cos(360 + 0) =
cos

tan (360 + 8) =
tand
1
.) tantal cos11080-al.




tan(iso + a) cosla-180) .




Negatiewe hoek
= tanl-al . coslioso-1080-al

Sins S
tanliso + a) cosla -180 + 360)
.




tan(-0) = -tand = tan(a) . cos(-al

tanliso + a) cos(a + 180)
Ko-Funksies
.




= ( - tal .
(cosal
Sin190-0) =+
cos(90-Ol =+ Sing cose] positief tana . (-cal


Sin 190 + ol =+ coso positief
cos(90tol = -Sing negative

, Identiteite
Basiese identiteite

.
1
Sin + cos0 = 1 2
. tant = Sin

↳ Sin = 1-coso Cost
↳ Cos = 1- Sin"E


Voorbeeld

17 It Sinx COS 2) Sin 190 + 8) . tan /180 - o
=


COST 1- Sinx Sin (720 + 0) >
-
Sink 20 360 +o
-




> (1 + Sinx)/1-sine) =
sin/360 + o
L

Lk : It Sinc
x
1-Sinx = (cos)l-tand
COSO I-Sinx Sin

coste stand
- I-Sins =
- cost . tano
cossl-since Sin



Sin
=
cosx =


-cos .
co
> Kanseleer cos


Cospel-sinal Sin




= Cosa -
= Sing

1- Sinx Sin E


: Lk = RK - I




3
. Sin(x) cos (90 + ec)-cosliso +oc) cost- x)
. .




= (-sinsch (-sinal-I-cosed
-
.
cossa

= Sinx-1-cos
= sin-cos-rel !!
-




= 1




Algement oplossing ran
trig vergelykin
Kwadrant 1 : E = verwl + k 360
Stappe
.




Kwadrant 2 : 8 = 180 Verwl k 360
Vereenvondig
+
1
.
.




2 Faktoriseer
Kwadrant
.




Verwysigsoeen
3: 0 : 180 + verwu + k .
360



Kwadrant 4 : 0 = 360-verwv + k 360 . 5 .
Solve !

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