csc(x)=3.5

解

csc (x) = 3.5

x = 0.28975 \dots + 2 πn, x = π - 0.28975 \dots + 2 πn

度

x = 16.60154 \dots^{\circ} + 36 0^{\circ} n, x = 163.39845 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

csc (x) = 3.5

三角関数の逆数プロパティを適用する

csc (x) = 3.5

以下の一般解

csc (x) = 3.5

csc (x) = a \Rightarrow x = arccsc (a) + 2 πn, x = π - arccsc (a) + 2 πn

x = arccsc (3.5) + 2 πn, x = π - arccsc (3.5) + 2 πn

x = arccsc (3.5) + 2 πn, x = π - arccsc (3.5) + 2 πn

10進法形式で解を証明する

x = 0.28975 \dots + 2 πn, x = π - 0.28975 \dots + 2 πn