sin(x)=0.61366

解

sin (x) = 0.61366

x = 0.66068 \dots + 2 πn, x = π - 0.66068 \dots + 2 πn

度

x = 37.85461 \dots^{\circ} + 36 0^{\circ} n, x = 142.14538 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

sin (x) = 0.61366

三角関数の逆数プロパティを適用する

sin (x) = 0.61366

以下の一般解

sin (x) = 0.61366

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (0.61366) + 2 πn, x = π - arcsin (0.61366) + 2 πn

x = arcsin (0.61366) + 2 πn, x = π - arcsin (0.61366) + 2 πn

10進法形式で解を証明する

x = 0.66068 \dots + 2 πn, x = π - 0.66068 \dots + 2 πn