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受欢迎的三角函数 >

10cos(x)=8

解答

10 cos (x) = 8

解答

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

+1

度数

x = 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 323.13010 \dots^{\circ} + 36 0^{\circ} n

求解步骤

10 cos (x) = 8

两边除以

10

10 cos (x) = 8

两边除以

10

\frac{10 cos ( x )}{10} = \frac{8}{10}

化简

cos (x) = \frac{4}{5}

cos (x) = \frac{4}{5}

使用反三角函数性质

cos (x) = \frac{4}{5}

cos (x) = \frac{4}{5}

的通解

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

x = arccos (\frac{4}{5}) + 2 πn, x = 2 π - arccos (\frac{4}{5}) + 2 πn

x = arccos (\frac{4}{5}) + 2 πn, x = 2 π - arccos (\frac{4}{5}) + 2 πn

以小数形式表示解

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

作图

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