sin(x)=0.24,0<= x<2pi

解

sin (x) = 0.24, 0 \leq x < 2 π

x = 0.24236 \dots, x = π - 0.24236 \dots

度

x = 13.88654 \dots^{\circ}, x = 166.11345 \dots^{\circ}

解答ステップ

sin (x) = 0.24, 0 \leq x < 2 π

三角関数の逆数プロパティを適用する

sin (x) = 0.24

以下の一般解

sin (x) = 0.24

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

x = arcsin (0.24) + 2 πn, x = π - arcsin (0.24) + 2 πn

x = arcsin (0.24) + 2 πn, x = π - arcsin (0.24) + 2 πn

範囲の解答

0 \leq x < 2 π

x = 0.24236 \dots, x = π - 0.24236 \dots