sec(x)=-5/2

解

sec (x) = - \frac{5}{2}

x = 1.98231 \dots + 2 πn, x = - 1.98231 \dots + 2 πn

度

x = 113.57817 \dots^{\circ} + 36 0^{\circ} n, x = - 113.57817 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

sec (x) = - \frac{5}{2}

三角関数の逆数プロパティを適用する

sec (x) = - \frac{5}{2}

以下の一般解

sec (x) = - \frac{5}{2}

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

x = arcsec (- \frac{5}{2}) + 2 πn, x = - arcsec (- \frac{5}{2}) + 2 πn

x = arcsec (- \frac{5}{2}) + 2 πn, x = - arcsec (- \frac{5}{2}) + 2 πn

10進法形式で解を証明する

x = 1.98231 \dots + 2 πn, x = - 1.98231 \dots + 2 πn