nilai tan kuadrat phi/6- sec kuadrat phi/4 + cosec kuadrat 5 phi/6
Matematika
HildaPutri08
Pertanyaan
nilai tan kuadrat phi/6- sec kuadrat phi/4 + cosec kuadrat 5 phi/6
1 Jawaban
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1. Jawaban EdiHeaven
Tan²π/6 = Tan²180/6= sin²30 / cos²30= (½)² / (½√3)²= 1 / 3
Sec²180/4= 1/cos²45 = 1/(½√2)²=1/8
Cosec5(180)/6 = 1/sin150° = 1/sin(180°-30°)= 1/sin30= 1/½= 2
jadi
⅓ - 1/8 + 2
8-3+48 / 24
53/24