Question

Matematika kelas 10
bab trigonometri

Answer 1

Verified answer

Fungsi trigonometri
f(x) = √3 sin 2(x - π/2) + 1

nilai f(x) akan maksimum jika sin 2(x - π/2) = 1
nilai f(x) akan minimum jika sin 2(x - π/2) = -1

sehingga
a = maks{ f(x) } = √3(1) + 1 = 1 + √3
b = min{ f(x) } = √3(-1) + 1 = 1 - √3

a² + b² = (1 + √3)² + (1 - √3)²
= 1 + 2√3 + 3 + 1 - 2√3 + 3
= 8 ✔️

semoga jelas dan membantu