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受欢迎的三角函数 >

sin(2x)=0.03

解答

sin (2 x) = 0.03

解答

x = \frac{0.03000 \dots}{2} + πn, x = \frac{π}{2} - \frac{0.03000 \dots}{2} + πn

+1

度数

x = 0.85956 \dots^{\circ} + 18 0^{\circ} n, x = 89.14043 \dots^{\circ} + 18 0^{\circ} n

求解步骤

sin (2 x) = 0.03

使用反三角函数性质

sin (2 x) = 0.03

sin (2 x) = 0.03

的通解

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

2 x = arcsin (0.03) + 2 πn, 2 x = π - arcsin (0.03) + 2 πn

2 x = arcsin (0.03) + 2 πn, 2 x = π - arcsin (0.03) + 2 πn

解

2 x = arcsin (0.03) + 2 πn : x = \frac{arcsin ( 0.03 )}{2} + πn

2 x = arcsin (0.03) + 2 πn

两边除以

2

2 x = arcsin (0.03) + 2 πn

两边除以

2

\frac{2 x}{2} = \frac{arcsin ( 0.03 )}{2} + \frac{2 πn}{2}

化简

x = \frac{arcsin ( 0.03 )}{2} + πn

x = \frac{arcsin ( 0.03 )}{2} + πn

解

2 x = π - arcsin (0.03) + 2 πn : x = \frac{π}{2} - \frac{arcsin ( 0.03 )}{2} + πn

2 x = π - arcsin (0.03) + 2 πn

两边除以

2

2 x = π - arcsin (0.03) + 2 πn

两边除以

2

\frac{2 x}{2} = \frac{π}{2} - \frac{arcsin ( 0.03 )}{2} + \frac{2 πn}{2}

化简

x = \frac{π}{2} - \frac{arcsin ( 0.03 )}{2} + πn

x = \frac{π}{2} - \frac{arcsin ( 0.03 )}{2} + πn

x = \frac{arcsin ( 0.03 )}{2} + πn, x = \frac{π}{2} - \frac{arcsin ( 0.03 )}{2} + πn

以小数形式表示解

x = \frac{0.03000 \dots}{2} + πn, x = \frac{π}{2} - \frac{0.03000 \dots}{2} + πn

作图

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