diketahui alfa=45°dan beta=60°hitung: tan45°+tan60°/1-(tan45°×tan60°)
Matematika
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Pertanyaan
diketahui alfa=45°dan beta=60°hitung: tan45°+tan60°/1-(tan45°×tan60°)
1 Jawaban
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1. Jawaban alifiandirm
(tan 45° + tan 60°) / (1 - (tan 45° × tan 60°))
= (1+√3)/(1 - (1×√3))
= (1+√3)/(1-√3)
= (1+√3)(1+√3)/(1-√3)(1+√3)
= (1+2√3+3)/1-3
= (4+2√3)/-2
= -2-√3