sin(x)=sin(80)

解

sin (x) = sin (8 0^{\circ})

x = 1.39626 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.39626 \dots + 36 0^{\circ} n

ラジアン

x = 1.39626 \dots + 2 πn, x = π - 1.39626 \dots + 2 πn

解答ステップ

sin (x) = sin (8 0^{\circ})

三角関数の逆数プロパティを適用する

sin (x) = sin (8 0^{\circ})

以下の一般解

sin (x) = sin (8 0^{\circ})

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x = arcsin (sin (8 0^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (sin (8 0^{\circ})) + 36 0^{\circ} n

x = arcsin (sin (8 0^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (sin (8 0^{\circ})) + 36 0^{\circ} n

10進法形式で解を証明する

x = 1.39626 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.39626 \dots + 36 0^{\circ} n