Diketahui sin×=4/6 tentukan cos × tan× sec × csc× cot ×
Jawaban Terkonfirmasi
Diketahui:
sinx = 4/6
Ditanyakan:
a. cosx
b. tanx
c. secx
d. cscx
e. cotx
Jawab:
sinx = de/mi = 4/6
maka,
de = 4
mi = 6
sa = √(6²-4²) = √20 = 2√5
a. cosx = sa/mi
= (2√5)/6
= (1/3)√5
b. tanx = de/sa
= 4/(2√5)
= 2/√5
= (2/5)√5
c. secx = mi/sa
= 6/(2√5)
= 3/√5
= (3/5)√5
d. cscx = mi/de
= 6/4
= 3/2
e. cotx = sa/de
= (2√5)/4
= (1/2)√5
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DETAIL JAWABAN
Mapel: Matematika
Kelas: 10
Materi: Bab 7 – Trigonometri
Kata kunci: Sin, Cos, Tan, Sec, Csc, Cot
Kode Soal: 2
Kode kategorisasi: 10.2.7