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受欢迎的三角函数 >

cos(x+40)=0.85

解答

cos (x + 4 0^{\circ}) = 0.85

解答

x = 0.55481 \dots + 36 0^{\circ} n - 4 0^{\circ}, x = 36 0^{\circ} - 0.55481 \dots + 36 0^{\circ} n - 4 0^{\circ}

+1

弧度

x = 0.55481 \dots - \frac{2 π}{9} + 2 πn, x = 2 π - 0.55481 \dots - \frac{2 π}{9} + 2 πn

求解步骤

cos (x + 4 0^{\circ}) = 0.85

使用反三角函数性质

cos (x + 4 0^{\circ}) = 0.85

cos (x + 4 0^{\circ}) = 0.85

的通解

cos (x) = a \Rightarrow x = arccos (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arccos (a) + 36 0^{\circ} n

x + 4 0^{\circ} = arccos (0.85) + 36 0^{\circ} n, x + 4 0^{\circ} = 36 0^{\circ} - arccos (0.85) + 36 0^{\circ} n

x + 4 0^{\circ} = arccos (0.85) + 36 0^{\circ} n, x + 4 0^{\circ} = 36 0^{\circ} - arccos (0.85) + 36 0^{\circ} n

解

x + 4 0^{\circ} = arccos (0.85) + 36 0^{\circ} n : x = arccos (0.85) + 36 0^{\circ} n - 4 0^{\circ}

x + 4 0^{\circ} = arccos (0.85) + 36 0^{\circ} n

将

4 0^{\circ}

到右边

x + 4 0^{\circ} = arccos (0.85) + 36 0^{\circ} n

两边减去

4 0^{\circ}

x + 4 0^{\circ} - 4 0^{\circ} = arccos (0.85) + 36 0^{\circ} n - 4 0^{\circ}

化简

x = arccos (0.85) + 36 0^{\circ} n - 4 0^{\circ}

x = arccos (0.85) + 36 0^{\circ} n - 4 0^{\circ}

解

x + 4 0^{\circ} = 36 0^{\circ} - arccos (0.85) + 36 0^{\circ} n : x = 36 0^{\circ} - arccos (0.85) + 36 0^{\circ} n - 4 0^{\circ}

x + 4 0^{\circ} = 36 0^{\circ} - arccos (0.85) + 36 0^{\circ} n

将

4 0^{\circ}

到右边

x + 4 0^{\circ} = 36 0^{\circ} - arccos (0.85) + 36 0^{\circ} n

两边减去

4 0^{\circ}

x + 4 0^{\circ} - 4 0^{\circ} = 36 0^{\circ} - arccos (0.85) + 36 0^{\circ} n - 4 0^{\circ}

化简

x = 36 0^{\circ} - arccos (0.85) + 36 0^{\circ} n - 4 0^{\circ}

x = 36 0^{\circ} - arccos (0.85) + 36 0^{\circ} n - 4 0^{\circ}

x = arccos (0.85) + 36 0^{\circ} n - 4 0^{\circ}, x = 36 0^{\circ} - arccos (0.85) + 36 0^{\circ} n - 4 0^{\circ}

以小数形式表示解

x = 0.55481 \dots + 36 0^{\circ} n - 4 0^{\circ}, x = 36 0^{\circ} - 0.55481 \dots + 36 0^{\circ} n - 4 0^{\circ}

作图

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