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受欢迎的三角函数 >

(sin(x))/(45)=(sin(35))/(30)

解答

\frac{sin ( x )}{45} = \frac{sin ( 3 5 ^{\circ} )}{30}

解答

x = 1.03598 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.03598 \dots + 36 0^{\circ} n

+1

弧度

x = 1.03598 \dots + 2 πn, x = π - 1.03598 \dots + 2 πn

求解步骤

\frac{sin ( x )}{45} = \frac{sin ( 3 5 ^{\circ} )}{30}

在两边乘以

10

\frac{sin ( x )}{45} = \frac{sin ( 3 5 ^{\circ} )}{30}

在两边乘以

10

\frac{sin ( x )}{45} \cdot 10 = \frac{sin ( 3 5 ^{\circ} )}{30} \cdot 10

化简

\frac{sin ( x )}{45} \cdot 10 = \frac{sin ( 3 5 ^{\circ} )}{30} \cdot 10

化简

\frac{sin ( x )}{45} \cdot 10 : \frac{2 sin ( x )}{9}

\frac{sin ( x )}{45} \cdot 10

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{sin ( x ) \cdot 10}{45}

约分:

5

= \frac{2 sin ( x )}{9}

化简

\frac{sin ( 3 5 ^{\circ} )}{30} \cdot 10 : \frac{sin ( 3 5 ^{\circ} )}{3}

\frac{sin ( 3 5 ^{\circ} )}{30} \cdot 10

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{sin ( 3 5 ^{\circ} ) \cdot 10}{30}

约分:

10

= \frac{sin ( 3 5 ^{\circ} )}{3}

\frac{2 sin ( x )}{9} = \frac{sin ( 3 5 ^{\circ} )}{3}

\frac{2 sin ( x )}{9} = \frac{sin ( 3 5 ^{\circ} )}{3}

\frac{2 sin ( x )}{9} = \frac{sin ( 3 5 ^{\circ} )}{3}

在两边乘以

9

\frac{2 sin ( x )}{9} = \frac{sin ( 3 5 ^{\circ} )}{3}

在两边乘以

9

\frac{9 \cdot 2 sin ( x )}{9} = \frac{9 sin ( 3 5 ^{\circ} )}{3}

化简

2 sin (x) = 3 sin (3 5^{\circ})

2 sin (x) = 3 sin (3 5^{\circ})

两边除以

2

2 sin (x) = 3 sin (3 5^{\circ})

两边除以

2

\frac{2 sin ( x )}{2} = \frac{3 sin ( 3 5 ^{\circ} )}{2}

化简

sin (x) = \frac{3 sin ( 3 5 ^{\circ} )}{2}

sin (x) = \frac{3 sin ( 3 5 ^{\circ} )}{2}

使用反三角函数性质

sin (x) = \frac{3 sin ( 3 5 ^{\circ} )}{2}

sin (x) = \frac{3 sin ( 3 5 ^{\circ} )}{2}

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{3 sin ( 3 5 ^{\circ} )}{2}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{3 sin ( 3 5 ^{\circ} )}{2}) + 36 0^{\circ} n

x = arcsin (\frac{3 sin ( 3 5 ^{\circ} )}{2}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{3 sin ( 3 5 ^{\circ} )}{2}) + 36 0^{\circ} n

以小数形式表示解

x = 1.03598 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.03598 \dots + 36 0^{\circ} n

作图

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