Nilai= Sin 30° +cos²45° + tan²60° per cosec 30°cotan 45
Matematika
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Pertanyaan
Nilai= Sin 30° +cos²45° + tan²60° per cosec 30°cotan 45
2 Jawaban
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1. Jawaban ErikCatosLawijaya
Mapel : Matematika
Kelas : X SMA
Bab : Trigonometri
Pembahasan :
(Sin 30° + Cos² 45° + Tan² 60°)/(Cosec 30° Cotan 45°)
= (1/2 + 1/2 + 3)/(2 . 1)
= 4/2
= 2 -
2. Jawaban Sutr1sn0
[sin 30° + cos^2 45° + tan^2 60°]/
[cosec 30° cotan 45°]
= [1/2 + (1/2 akar 2)^2 + (akar 3)^2]/
[2 × 1]
= [1/2 + (1/4 × 2) + 3]/2
= (1/2 + 2/4 + 3)/2
= (1/2 + 1/2 + 3)/2
= (1/2 + 1/2 + 6/2)/2
= (8/2)/2
= 4/2
= 2