Question

Diketahui tan 15° = a
Tentukan =
1. sin 15°
2. cos 15°
3. sin 75°
​

Answer 1

Penjelasan dengan langkah-langkah:

tan 15° = a/1 → y/x

r = √(x² + y²)

r = √(1² + a²)

r = √(a² + 1)

1] sin 15°

= y/r

= a/√(a² + 1)

= 1/(a² + 1) . (a . √(a² + 1))

2] cos 15°

= x/r

= 1/√(a² + 1)

= 1/(a² + 1) . (√(a² + 1))

3] sin 75°

= sin (90° - 15°)

= cos 15°

= 1/√(a² + 1)

= 1/(a² + 1) . (√(a² + 1))

Detail jawaban

Kelas 10

Mapel 2 - Matematika

Bab 7 - Trigonometri

Kode Kategorisasi : 10.2.7