nilai dari sin 30°+cos 330°+sin 150° dibagi tan 45°+cos 210°=
Matematika
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Pertanyaan
nilai dari sin 30°+cos 330°+sin 150° dibagi tan 45°+cos 210°=
1 Jawaban
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1. Jawaban DedeMaulaMcLaren21
sin 30° = ½
cos 330° = cos (360°-30°) = cos 30° = ½√3
sin 150° = sin (180°-30°) = sin 30° = ½
=> ½+½+½√3
=> ½(1+1+√3)
=> ½(2+√3)
=> 2/2 + √3√2
=> (2+√3)/2
tan 45° = 1
cos 210° = cos (180°+30°) = -cos 30° = -½√3
=> 1+(-½√3)
=> 2/2-½√3
=> (2-√3)/2
=> (2+√3)/2 : (2-√3)/2
=> (2+√3)/(2-√3)
=> (4+2(2√3)+3)/(4-3)
=> (7+4√3)