cos(a)=0.33

解

cos (a) = 0.33

a = 1.23449 \dots + 2 πn, a = 2 π - 1.23449 \dots + 2 πn

度

a = 70.73122 \dots^{\circ} + 36 0^{\circ} n, a = 289.26877 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

cos (a) = 0.33

三角関数の逆数プロパティを適用する

cos (a) = 0.33

以下の一般解

cos (a) = 0.33

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

a = arccos (0.33) + 2 πn, a = 2 π - arccos (0.33) + 2 πn

a = arccos (0.33) + 2 πn, a = 2 π - arccos (0.33) + 2 πn

10進法形式で解を証明する

a = 1.23449 \dots + 2 πn, a = 2 π - 1.23449 \dots + 2 πn