sin(θ)=0.9848,0<= θ<360

解

sin (θ) = 0.9848, 0^{\circ} \leq θ < 36 0^{\circ}

θ = 1.39621 \dots, θ = 18 0^{\circ} - 1.39621 \dots

ラジアン

θ = 1.39621 \dots, θ = π - 1.39621 \dots

解答ステップ

sin (θ) = 0.9848, 0^{\circ} \leq θ < 36 0^{\circ}

三角関数の逆数プロパティを適用する

sin (θ) = 0.9848

以下の一般解

sin (θ) = 0.9848

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

θ = arcsin (0.9848) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (0.9848) + 36 0^{\circ} n

θ = arcsin (0.9848) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (0.9848) + 36 0^{\circ} n

範囲の解答

0 \leq θ < 36 0^{\circ}

θ = 1.39621 \dots, θ = 18 0^{\circ} - 1.39621 \dots