Tolong no 3 dan 4 ya.....
Matematika
amaranhd
Pertanyaan
Tolong no 3 dan 4 ya.....
1 Jawaban
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1. Jawaban Anonyme
jawab
3.
2 cos( 2x + 5/6 π) = √3
cos (2x + 150) = 1/2 √3 = cos 30
2x + 150 = 30 + k. 360 atau 2x + 150 = - 30 + k. 360
2x = 120 + k. 360 atau 2x = -180 + k. 360
x= 60 + k. 180 atau x = - 90 + k. 180
k = 0,1,2,3,...
k= 0 , x1 = 60, x2 = - 90
k= 1, x3 = 240, x4 = 90
k = 2 , x5 = 420 , x5 = 270
batas interval 0 ≤ x ≤ 180
x = 60, 90, = (60/180 π , 90/180 π)
x = 1/3 π , 1/2 π
4)
tan x = p = y/x
y= p
x = 1
r = √(x² +y²)
r= √(1+p)
cos A = x/r = 1/ √(1+p)
cos 2A = 2cos² A - 1
= 2 ( cos A)² - 1
= 2 ( 1 / √(1+p) )² - 1
= 2 /(1+p) - 1
= { 2 - 1(1+p)} / (1 +p)
= (2 - 1 - p)/(1+p)
=(1 - p)/(1 + p)