(sin² 60° sin² 45° + cos² 30° cos² 45°)/(tan 30° + tan 60°)…

Hai Richard,kakak bantu jawab ya. Jawabannya adalah 3/16 √3 Konsep sudut- sudut istimewa #cos 30° = 1/2 √3 tan 30° = 1/3 √3 # sin 45° = 1/2 √2 cos 45° = 1/2 √2 # sin 60° = 1/2 √3 cos 60° = 1/2 tan 60° = √3 Diketahui sin² 60°= (sin 60°)² = (1/2 √3)²= 3/4 sin² 45°= (sin 45°) = (1/2 √2)² = 1/2 cos² 30° = (cos 30°)² = (1/2 √3)² = 3/4 cos² 45° = (cos 45°)²= (1/2 √2)² = 1/2 tan 30° = 1/3 √3 tan 60° = √3 #sin² 60° sin² 45° + cos² 30° cos² 45°)/(tan 30° + tan 60°) = (3/4 • 1/2+ 3/4• 1/2)/(1/3 √3 + √3) = (3/8 + 3/8) /(4/3 √3) = 6/8 / (4√3/3) = 6/8 x 3/4√3 = 18/32√3 = 9/16√3 x √3/√3 = 3/16 √3 Jadi hasilnya adalah 3/16 √3 Semoga membantu