Question

Kelas : XI
mapel : matematika minat
kategori : trigonometri

soal
nilai dari 2 Tan π/8 . cos π/8 = ....

Answer 1

Verified answer

Bismillahirrahmanirrahim

nilai dari 2 Tan π/8 . cos π/8 = ....
JAWABAN PENDEK
Tan = sin/cos
Maka cos dapat dicoret

Jdi
2sin π/8

JAWABAN PANJANG
kam 2 tan π/8.cos π/8
=2tan 180/8.cos180/8
=2tan 22.5 . cos 22.5
= 1,11×-0,8
=-0,88

semoga bermanfaat ummi
ini tergantung pilihan ganda ummi

Answer 2

Verified answer

Bab Trigonometri
Matematika SMA Kelas XI

2 tan (π/8) . cos (π/8)
= 2 . ((sin (π/8))/(cos (π/8)) . cos (π/8)
= 2 . sin (π/8)
= 2 . sin ((π/4)/2)
= 2 . (+- √((1 - cos (π/4))/2)
= 2 . (+- √((2/2 - 1/2 √2)/2)
= 2 . (+- √((2 - √2)/4)
= 2 . (1/2) (+- √(2 - √2)
= +- √(2 - √2)