Please enable JavaScript.
Coggle requires JavaScript to display documents.
Persamaan Trigonometri, 5f992921698be, acosx+bsin=c - Coggle Diagram
Persamaan Trigonometri
bentuk asin^2x+bsinx+c=0
jawaban
1/2(2a+5)(2a-2)=0
(2a+5)(a-1)=0
a=-5/2 V a=1
sehingga cosx=cos 0
maka
x=0+k.360
k=0
x=0+0.360=0
x=-0+0.360=0
k=1
x=0+1.360=360
x=-0+1.360=360
HP={0°,360°}
-
contoh soal
-
kontekstual
-
acosx+bsin=c
Penyelesaian
√3 cos x + sin x = √2
3 cos x + sin x = k cos (x-a)
a = 3, b = 1, c = √2
k = √3+1 = = 2
tan a = 1/√3
a = π/6
2 cos ( x-π/6) = 2
(I) cos (x-π/6)= cos π/4 => x=5/12π
(II) cos (x-π/6) = cos (-π/4) => (x-π/6) = -π/4 + 2π => x= -1/12π +2π
= 23/12 π
RUMUS a cos x + b sin x = k cos (x-a) = k sin (x-a+90) dengan K= √a²+b²
tan a = a/b ( a harus sesuai dengan kuadrannya titik a,b)
Note : a cos x + b sin x = c mempunyai penyelesaian bila a² + b ² ≥ c²
-
-
-