Question

Ubahlah sudut sudut berikut ke bentuk derajat
a. π/12 rad
b. 5 π/3 rad
c. 3 π/5 rad
d. 7 π/8 rad
e. 7 π/16 rad
f. 8 π/15 rad
buat tugas besok bantuin ya makasih :)

Answer 1

Kategori Soal : Matematika - Trigonometri
Kelas : X (1 SMA)
Pembahasan :
Hubungan ukuran derajat dengan ukuran radian (rad).
1° = π/180 rad
1 rad = 180°/π

Mari kita lihat soal tersebut.
a. π/12 rad = π/12 x 180°/π = 180°/12 = 15°

b. 5π/3 rad = 5π/3 x 180°/π = (5 x 180°)/3 = 5 x 60° = 300°

c. 3π/5 rad = 3π/5 x 180°/π = (3 x 180°)/5 = 3 x 36° = 108°

d. 7π/8 rad = 7π/8 x 180°/π = (7 x 180°)/8 = 7 x 22,5° = 157,5°

e. 7π/16 rad = 7π/16 x 180°/π = (7 x 180°)/16 = 7 x 11,25° = 78,75°

f. 8π/15 rad = 8π/15 x 180°/π = (8 x 180°)/15 = 8 x 12° = 96°

Semangat!