sin(x)=(3.1)/(4.5)

解答

sin (x) = \frac{3.1}{4.5}

x = 0.75995 \dots + 2 πn, x = π - 0.75995 \dots + 2 πn

度数

x = 43.54221 \dots^{\circ} + 36 0^{\circ} n, x = 136.45778 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (x) = \frac{3.1}{4.5}

使用反三角函数性质

sin (x) = \frac{3.1}{4.5}

sin (x) = \frac{3.1}{4.5}

的通解

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{3.1}{4.5}) + 2 πn, x = π - arcsin (\frac{3.1}{4.5}) + 2 πn

x = arcsin (\frac{3.1}{4.5}) + 2 πn, x = π - arcsin (\frac{3.1}{4.5}) + 2 πn

以小数形式表示解

x = 0.75995 \dots + 2 πn, x = π - 0.75995 \dots + 2 πn