csc(A)=3

解

csc (A) = 3

A = 0.33983 \dots + 2 πn, A = π - 0.33983 \dots + 2 πn

度

A = 19.47122 \dots^{\circ} + 36 0^{\circ} n, A = 160.52877 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

csc (A) = 3

三角関数の逆数プロパティを適用する

csc (A) = 3

以下の一般解

csc (A) = 3

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

A = arccsc (3) + 2 πn, A = π - arccsc (3) + 2 πn

A = arccsc (3) + 2 πn, A = π - arccsc (3) + 2 πn

10進法形式で解を証明する

A = 0.33983 \dots + 2 πn, A = π - 0.33983 \dots + 2 πn