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受欢迎的三角函数 >

(sin(a))/(50)=(sin(25))/(35)

解答

\frac{sin ( a )}{50} = \frac{sin ( 2 5 ^{\circ} )}{35}

解答

a = 0.64818 \dots + 36 0^{\circ} n, a = 18 0^{\circ} - 0.64818 \dots + 36 0^{\circ} n

+1

弧度

a = 0.64818 \dots + 2 πn, a = π - 0.64818 \dots + 2 πn

求解步骤

\frac{sin ( a )}{50} = \frac{sin ( 2 5 ^{\circ} )}{35}

在两边乘以

10

\frac{sin ( a )}{50} = \frac{sin ( 2 5 ^{\circ} )}{35}

在两边乘以

10

\frac{sin ( a )}{50} \cdot 10 = \frac{sin ( 2 5 ^{\circ} )}{35} \cdot 10

化简

\frac{sin ( a )}{50} \cdot 10 = \frac{sin ( 2 5 ^{\circ} )}{35} \cdot 10

化简

\frac{sin ( a )}{50} \cdot 10 : \frac{sin ( a )}{5}

\frac{sin ( a )}{50} \cdot 10

分式相乘:

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

= \frac{sin ( a ) \cdot 10}{50}

约分:

10

= \frac{sin ( a )}{5}

化简

\frac{sin ( 2 5 ^{\circ} )}{35} \cdot 10 : \frac{2 sin ( 2 5 ^{\circ} )}{7}

\frac{sin ( 2 5 ^{\circ} )}{35} \cdot 10

分式相乘:

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

= \frac{sin ( 2 5 ^{\circ} ) \cdot 10}{35}

约分:

5

= \frac{2 sin ( 2 5 ^{\circ} )}{7}

\frac{sin ( a )}{5} = \frac{2 sin ( 2 5 ^{\circ} )}{7}

\frac{sin ( a )}{5} = \frac{2 sin ( 2 5 ^{\circ} )}{7}

\frac{sin ( a )}{5} = \frac{2 sin ( 2 5 ^{\circ} )}{7}

在两边乘以

5

\frac{sin ( a )}{5} = \frac{2 sin ( 2 5 ^{\circ} )}{7}

在两边乘以

5

\frac{5 sin ( a )}{5} = \frac{5 \cdot 2 sin ( 2 5 ^{\circ} )}{7}

化简

\frac{5 sin ( a )}{5} = \frac{5 \cdot 2 sin ( 2 5 ^{\circ} )}{7}

化简

\frac{5 sin ( a )}{5} : sin (a)

\frac{5 sin ( a )}{5}

数字相除:

\frac{5}{5} = 1

= sin (a)

化简

\frac{5 \cdot 2 sin ( 2 5 ^{\circ} )}{7} : \frac{10 sin ( 2 5 ^{\circ} )}{7}

\frac{5 \cdot 2 sin ( 2 5 ^{\circ} )}{7}

数字相乘:

5 \cdot 2 = 10

= \frac{10 sin ( 2 5 ^{\circ} )}{7}

sin (a) = \frac{10 sin ( 2 5 ^{\circ} )}{7}

sin (a) = \frac{10 sin ( 2 5 ^{\circ} )}{7}

sin (a) = \frac{10 sin ( 2 5 ^{\circ} )}{7}

使用反三角函数性质

sin (a) = \frac{10 sin ( 2 5 ^{\circ} )}{7}

sin (a) = \frac{10 sin ( 2 5 ^{\circ} )}{7}

的通解

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

a = arcsin (\frac{10 sin ( 2 5 ^{\circ} )}{7}) + 36 0^{\circ} n, a = 18 0^{\circ} - arcsin (\frac{10 sin ( 2 5 ^{\circ} )}{7}) + 36 0^{\circ} n

a = arcsin (\frac{10 sin ( 2 5 ^{\circ} )}{7}) + 36 0^{\circ} n, a = 18 0^{\circ} - arcsin (\frac{10 sin ( 2 5 ^{\circ} )}{7}) + 36 0^{\circ} n

以小数形式表示解

a = 0.64818 \dots + 36 0^{\circ} n, a = 18 0^{\circ} - 0.64818 \dots + 36 0^{\circ} n

作图

流行的例子

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