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受欢迎的三角函数 >

35.35=100cos(x)

解答

35.35 = 100 cos (x)

解答

x = 1.20948 \dots + 2 πn, x = 2 π - 1.20948 \dots + 2 πn

+1

度数

x = 69.29845 \dots^{\circ} + 36 0^{\circ} n, x = 290.70154 \dots^{\circ} + 36 0^{\circ} n

求解步骤

35.35 = 100 cos (x)

交换两边

100 cos (x) = 35.35

两边除以

100

100 cos (x) = 35.35

两边除以

100

\frac{100 cos ( x )}{100} = \frac{35.35}{100}

化简

cos (x) = 0.3535

cos (x) = 0.3535

使用反三角函数性质

cos (x) = 0.3535

cos (x) = 0.3535

的通解

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (0.3535) + 2 πn, x = 2 π - arccos (0.3535) + 2 πn

x = arccos (0.3535) + 2 πn, x = 2 π - arccos (0.3535) + 2 πn

以小数形式表示解

x = 1.20948 \dots + 2 πn, x = 2 π - 1.20948 \dots + 2 πn

作图

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