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受欢迎的三角函数 >

(sin(50))/(10)=(sin(q))/(12)

解答

\frac{sin ( 5 0 ^{\circ} )}{10} = \frac{sin ( q )}{12}

解答

q = 1.16617 \dots + 36 0^{\circ} n, q = 18 0^{\circ} - 1.16617 \dots + 36 0^{\circ} n

+1

弧度

q = 1.16617 \dots + 2 πn, q = π - 1.16617 \dots + 2 πn

求解步骤

\frac{sin ( 5 0 ^{\circ} )}{10} = \frac{sin ( q )}{12}

交换两边

\frac{sin ( q )}{12} = \frac{sin ( 5 0 ^{\circ} )}{10}

在两边乘以

10

\frac{sin ( q )}{12} = \frac{sin ( 5 0 ^{\circ} )}{10}

在两边乘以

10

\frac{sin ( q )}{12} \cdot 10 = \frac{sin ( 5 0 ^{\circ} )}{10} \cdot 10

化简

\frac{sin ( q )}{12} \cdot 10 = \frac{sin ( 5 0 ^{\circ} )}{10} \cdot 10

化简

\frac{sin ( q )}{12} \cdot 10 : \frac{5 sin ( q )}{6}

\frac{sin ( q )}{12} \cdot 10

分式相乘:

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

= \frac{sin ( q ) \cdot 10}{12}

约分:

2

= \frac{5 sin ( q )}{6}

化简

\frac{sin ( 5 0 ^{\circ} )}{10} \cdot 10 : sin (5 0^{\circ})

\frac{sin ( 5 0 ^{\circ} )}{10} \cdot 10

分式相乘:

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

= \frac{sin ( 5 0 ^{\circ} ) \cdot 10}{10}

约分:

10

= sin (5 0^{\circ})

\frac{5 sin ( q )}{6} = sin (5 0^{\circ})

\frac{5 sin ( q )}{6} = sin (5 0^{\circ})

\frac{5 sin ( q )}{6} = sin (5 0^{\circ})

在两边乘以

6

\frac{5 sin ( q )}{6} = sin (5 0^{\circ})

在两边乘以

6

\frac{6 \cdot 5 sin ( q )}{6} = 6 sin (5 0^{\circ})

化简

5 sin (q) = 6 sin (5 0^{\circ})

5 sin (q) = 6 sin (5 0^{\circ})

两边除以

5

5 sin (q) = 6 sin (5 0^{\circ})

两边除以

5

\frac{5 sin ( q )}{5} = \frac{6 sin ( 5 0 ^{\circ} )}{5}

化简

sin (q) = \frac{6 sin ( 5 0 ^{\circ} )}{5}

sin (q) = \frac{6 sin ( 5 0 ^{\circ} )}{5}

使用反三角函数性质

sin (q) = \frac{6 sin ( 5 0 ^{\circ} )}{5}

sin (q) = \frac{6 sin ( 5 0 ^{\circ} )}{5}

的通解

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

q = arcsin (\frac{6 sin ( 5 0 ^{\circ} )}{5}) + 36 0^{\circ} n, q = 18 0^{\circ} - arcsin (\frac{6 sin ( 5 0 ^{\circ} )}{5}) + 36 0^{\circ} n

q = arcsin (\frac{6 sin ( 5 0 ^{\circ} )}{5}) + 36 0^{\circ} n, q = 18 0^{\circ} - arcsin (\frac{6 sin ( 5 0 ^{\circ} )}{5}) + 36 0^{\circ} n

以小数形式表示解

q = 1.16617 \dots + 36 0^{\circ} n, q = 18 0^{\circ} - 1.16617 \dots + 36 0^{\circ} n

作图

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