sec(θ)=1.984

解

sec (θ) = 1.984

θ = 1.04253 \dots + 2 πn, θ = 2 π - 1.04253 \dots + 2 πn

度

θ = 59.73286 \dots^{\circ} + 36 0^{\circ} n, θ = 300.26713 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

sec (θ) = 1.984

三角関数の逆数プロパティを適用する

sec (θ) = 1.984

以下の一般解

sec (θ) = 1.984

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

θ = arcsec (1.984) + 2 πn, θ = 2 π - arcsec (1.984) + 2 πn

θ = arcsec (1.984) + 2 πn, θ = 2 π - arcsec (1.984) + 2 πn

10進法形式で解を証明する

θ = 1.04253 \dots + 2 πn, θ = 2 π - 1.04253 \dots + 2 πn