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(sin(51))/(18)=(sin(x))/(22)

解答

\frac{sin ( 5 1 ^{\circ} )}{18} = \frac{sin ( x )}{22}

解答

x = 1.25274 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.25274 \dots + 36 0^{\circ} n

+1

弧度

x = 1.25274 \dots + 2 πn, x = π - 1.25274 \dots + 2 πn

求解步骤

\frac{sin ( 5 1 ^{\circ} )}{18} = \frac{sin ( x )}{22}

交换两边

\frac{sin ( x )}{22} = \frac{sin ( 5 1 ^{\circ} )}{18}

在两边乘以

22

\frac{sin ( x )}{22} = \frac{sin ( 5 1 ^{\circ} )}{18}

在两边乘以

22

\frac{22 sin ( x )}{22} = \frac{22 sin ( 5 1 ^{\circ} )}{18}

化简

sin (x) = \frac{11 sin ( 5 1 ^{\circ} )}{9}

sin (x) = \frac{11 sin ( 5 1 ^{\circ} )}{9}

使用反三角函数性质

sin (x) = \frac{11 sin ( 5 1 ^{\circ} )}{9}

sin (x) = \frac{11 sin ( 5 1 ^{\circ} )}{9}

的通解

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x = arcsin (\frac{11 sin ( 5 1 ^{\circ} )}{9}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{11 sin ( 5 1 ^{\circ} )}{9}) + 36 0^{\circ} n

x = arcsin (\frac{11 sin ( 5 1 ^{\circ} )}{9}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{11 sin ( 5 1 ^{\circ} )}{9}) + 36 0^{\circ} n

以小数形式表示解

x = 1.25274 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.25274 \dots + 36 0^{\circ} n

流行的例子

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