Sin (30° + Φ) + Cos (60° + Φ) = cos Φ Φ = Teta ya kak. Tolong sama cara²nya y kak, Thx.
Matematika
AlfredoSagala05
Pertanyaan
Sin (30° + Φ) + Cos (60° + Φ) = cos Φ
Φ = Teta ya kak.
Tolong sama cara²nya y kak, Thx.
Φ = Teta ya kak.
Tolong sama cara²nya y kak, Thx.
2 Jawaban
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1. Jawaban ahreumlim
sin 30 = cos 60 = 1/2
Sin (30° + Φ) + Cos (60° + Φ)
= sin 30 . cos Φ + cos 30 . sin Φ + (cos 60 . cos Φ - sin 60 . sin Φ)
= 1/2 . cos Φ + (1/2 . sin Φ) + 1/2 . cos Φ - (1/2 . sin Φ)
= 1/2 . cos Φ + 1/2 cos Φ
= cos Φ -
2. Jawaban Anonyme
TriGonoMetRi
sin (30 + θ) + cos (60 + θ)
= sin (90 - (60 - θ)) + cos (60 + θ)
= cos (60 - θ) + cos (60 + θ)
= 2 cos 60 cos θ
= 2 . 1/2 . cos θ
= cos θ
TerBukTi
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2 cos x cos y = cos (x + y) + cos (x - y)
sin (90 - x) = cos x