tolong sama caranya ya, jangan jawab asal asalan plisss..
Matematika
Noire
Pertanyaan
tolong sama caranya ya, jangan jawab asal asalan plisss..
1 Jawaban
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1. Jawaban DB45
sin 60= 1/2√3
cos 60 = 1/2
tan (-60) = - tan 60 = - √3
tan 45 = 1
sin 30 = 1/2
sin 45 = 1/2 √2
sub ke soal
{(sin² 60 - cos² 60+ tan(-60)} / (tan 45 + sin 30) sin 45 =
= {(1/2 √3)² -(1/2)² - √3)} / (1 + 1/2)(1/2 √2)
=(3/4 - 1/4 - √3) / (3/2)(1/2 √2)
= (1/2 - √3) / (3/4) √2
= 4(1/2 - √3)/ (3√2)
= (2 - 4√3)(√2)/ 3)
= 2(1 - 2√3).√2 / 3)
= (2√2)/(3). {(1 - 2√3)}