sec(α)= 9/5

解

sec (α) = \frac{9}{5}

α = 0.98176 \dots + 2 πn, α = 2 π - 0.98176 \dots + 2 πn

度

α = 56.25101 \dots^{\circ} + 36 0^{\circ} n, α = 303.74898 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

sec (α) = \frac{9}{5}

三角関数の逆数プロパティを適用する

sec (α) = \frac{9}{5}

以下の一般解

sec (α) = \frac{9}{5}

sec (x) = a \Rightarrow x = arcsec (a) + 2 πn, x = 2 π - arcsec (a) + 2 πn

α = arcsec (\frac{9}{5}) + 2 πn, α = 2 π - arcsec (\frac{9}{5}) + 2 πn

α = arcsec (\frac{9}{5}) + 2 πn, α = 2 π - arcsec (\frac{9}{5}) + 2 πn

10進法形式で解を証明する

α = 0.98176 \dots + 2 πn, α = 2 π - 0.98176 \dots + 2 πn