Nilai paling sederhana dari Cot(-390)° + Sec 315°/sin(-45)° × tan 30°
Matematika
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Pertanyaan
Nilai paling sederhana dari Cot(-390)° + Sec 315°/sin(-45)° × tan 30°
1 Jawaban
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1. Jawaban arifsman12
cot ( -390) = - cot (390)
= - cot (2.180+ 30)
= - cot 30°
= -V3
sec 315 = sec (360 -45)
= sec 45
= V2
sin (-45) = - sin 45
= -1/2 V2
tan 30 = 1/3 V3
jadi hasilnya
[tex] = \frac{ - \sqrt{3} + \sqrt{2} }{ - \frac{1}{ \sqrt{6} } } \\ = \sqrt{18} - \sqrt{12 } \\ = 3 \sqrt{2} - 2 \sqrt{3} [/tex]