sin(x)=(4.2)/(9.9)

解答

sin (x) = \frac{4.2}{9.9}

x = 0.4381251284 + 2 πn, x = π - 0.4381251284 + 2 πn

度数

x = 25.10272 \dots^{\circ} + 36 0^{\circ} n, x = 154.89727 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (x) = \frac{4.2}{9.9}

使用反三角函数性质

sin (x) = \frac{4.2}{9.9}

sin (x) = \frac{4.2}{9.9}

的通解

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

x = arcsin (\frac{4.2}{9.9}) + 2 πn, x = π - arcsin (\frac{4.2}{9.9}) + 2 πn

x = arcsin (\frac{4.2}{9.9}) + 2 πn, x = π - arcsin (\frac{4.2}{9.9}) + 2 πn

以小数形式表示解

x = 0.4381251284 + 2 πn, x = π - 0.4381251284 + 2 πn

cot (θ) = 0.8701

cos (x) = - 1 + \frac{576}{625}

2 sin (θ) cos (θ) - sin (θ) = sin (θ) cos (θ)

3 - \frac{1}{2} \cdot tan (θ) = \frac{6 + 3}{2}

5 sin (x) = 3, sin (x) + cos (x)