csc(x)=sec(41)

解

csc (x) = sec (4 1^{\circ})

x = 0.85521 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.85521 \dots + 36 0^{\circ} n

ラジアン

x = 0.85521 \dots + 2 πn, x = π - 0.85521 \dots + 2 πn

解答ステップ

csc (x) = sec (4 1^{\circ})

三角関数の逆数プロパティを適用する

csc (x) = sec (4 1^{\circ})

以下の一般解

csc (x) = sec (4 1^{\circ})

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

x = arccsc (sec (4 1^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} - arccsc (sec (4 1^{\circ})) + 36 0^{\circ} n

x = arccsc (sec (4 1^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} - arccsc (sec (4 1^{\circ})) + 36 0^{\circ} n

10進法形式で解を証明する

x = 0.85521 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.85521 \dots + 36 0^{\circ} n