Nilai sin 120°+sin 150°/cos 330°+cos 240°=

(1/2 akar3 + 1/2)/(1/2 akar3 - 1/2)
(akar3 + 1)/(akar3 - 1)
(akar3 + 1)(akar3 + 1)/(akar3 - 1)(akar3 + 1)
(3 + 2akar3 + 1)/(3 - 1)
(4 + 2akar3)/2
2 + akar3

tentukan nilai masing2 sudut.

sin 120 = sin(180-60)= sin 60 = 1/2 √3
sin 150 = sin(180-30) =sin 30 = 1/2

cos 330 = cos (360 - 30)= cos 30 = 1/2 √3
cos 240 = cos(180+60) = - cos 60 = - 1/2

(sin120 + sin150) / (cos 330+cos 240) =
= (sin 60 + sin 30)/ (cos 30 - cos 60)
= (1/2 √3 + 1/2) / (1/2√3 - 1/2)
= 1/2 (√3 + 1) / 1/2 (√3 - 1)
= (√3 +1)/(√3 -1)
= (√3 + 1)(√3 +1) / (√3 -1)(√3 +1)
= (3 +1 + 2√3) / (3-1)
= (4 + 2√3)/(2)
= 2 + √3


maaf klo salah