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受欢迎的三角函数 >

solvefor x,sec(x+10)=5.759

解答

求解

x, sec (x + 1 0^{\circ}) = 5.759

解答

x = 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}

+1

弧度

x = 1.39627 \dots - \frac{π}{18} + 2 πn, x = 2 π - 1.39627 \dots - \frac{π}{18} + 2 πn

求解步骤

sec (x + 1 0^{\circ}) = 5.759

使用反三角函数性质

sec (x + 1 0^{\circ}) = 5.759

sec (x + 1 0^{\circ}) = 5.759

的通解

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

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n, x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n, x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

解

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n : x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n

将

1 0^{\circ}

到右边

x + 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n

两边减去

1 0^{\circ}

x + 1 0^{\circ} - 1 0^{\circ} = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

化简

x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

解

x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n : x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

将

1 0^{\circ}

到右边

x + 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n

两边减去

1 0^{\circ}

x + 1 0^{\circ} - 1 0^{\circ} = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

化简

x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

x = arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - arcsec (5.759) + 36 0^{\circ} n - 1 0^{\circ}

以小数形式表示解

x = 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}, x = 36 0^{\circ} - 1.39627 \dots + 36 0^{\circ} n - 1 0^{\circ}

作图

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