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受欢迎的三角函数 >

0.25*cos(x)=-0.249

解答

0.25 \cdot cos (x) = - 0.249

解答

x = 3.05212 \dots + 2 πn, x = - 3.05212 \dots + 2 πn

+1

度数

x = 174.87359 \dots^{\circ} + 36 0^{\circ} n, x = - 174.87359 \dots^{\circ} + 36 0^{\circ} n

求解步骤

0.25 cos (x) = - 0.249

在两边乘以

1000

0.25 cos (x) = - 0.249

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere are

3

digits to the right of the decimal point, therefore multiply by

1000

0.25 cos (x) \cdot 1000 = - 0.249 \cdot 1000

整理后得

250 cos (x) = - 249

250 cos (x) = - 249

两边除以

250

250 cos (x) = - 249

两边除以

250

\frac{250 cos ( x )}{250} = \frac{- 249}{250}

化简

cos (x) = - \frac{249}{250}

cos (x) = - \frac{249}{250}

使用反三角函数性质

cos (x) = - \frac{249}{250}

cos (x) = - \frac{249}{250}

的通解

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

x = arccos (- \frac{249}{250}) + 2 πn, x = - arccos (- \frac{249}{250}) + 2 πn

x = arccos (- \frac{249}{250}) + 2 πn, x = - arccos (- \frac{249}{250}) + 2 πn

以小数形式表示解

x = 3.05212 \dots + 2 πn, x = - 3.05212 \dots + 2 πn

作图

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