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受欢迎的三角函数 >

0.470.2=109.8sin(x)

解答

0.47 \cdot 0.2 = 10 \cdot 9.8 sin (x)

解答

x = 0.00095 \dots + 2 πn, x = π - 0.00095 \dots + 2 πn

+1

度数

x = 0.05495 \dots^{\circ} + 36 0^{\circ} n, x = 179.94504 \dots^{\circ} + 36 0^{\circ} n

求解步骤

0.47 \cdot 0.2 = 10 \cdot 9.8 sin (x)

交换两边

10 \cdot 9.8 sin (x) = 0.47 \cdot 0.2

数字相乘:

0.47 \cdot 0.2 = 0.094

10 \cdot 9.8 sin (x) = 0.094

两边除以

98

10 \cdot 9.8 sin (x) = 0.094

两边除以

98

\frac{10 \cdot 9.8 sin ( x )}{98} = \frac{0.094}{98}

化简

sin (x) = 0.00095 \dots

sin (x) = 0.00095 \dots

使用反三角函数性质

sin (x) = 0.00095 \dots

sin (x) = 0.00095 \dots

的通解

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

x = arcsin (0.00095 \dots) + 2 πn, x = π - arcsin (0.00095 \dots) + 2 πn

x = arcsin (0.00095 \dots) + 2 πn, x = π - arcsin (0.00095 \dots) + 2 πn

以小数形式表示解

x = 0.00095 \dots + 2 πn, x = π - 0.00095 \dots + 2 πn

作图

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