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受欢迎的三角函数 >

(sin(1.3785)}{70}=\frac{sin(a))/7

解答

\frac{sin ( 1.3785 )}{70} = \frac{sin ( a )}{7}

解答

a = 0.09831 \dots + 2 πn, a = π - 0.09831 \dots + 2 πn

+1

度数

a = 5.63304 \dots^{\circ} + 36 0^{\circ} n, a = 174.36695 \dots^{\circ} + 36 0^{\circ} n

求解步骤

\frac{sin ( 1.3785 )}{70} = \frac{sin ( a )}{7}

sin (1.3785) = sin (\frac{2757}{2000})

sin (1.3785)

\frac{sin ( \frac{2757}{2000} )}{70} = \frac{sin ( a )}{7}

交换两边

\frac{sin ( a )}{7} = \frac{sin ( \frac{2757}{2000} )}{70}

在两边乘以

10

\frac{sin ( a )}{7} = \frac{sin ( \frac{2757}{2000} )}{70}

在两边乘以

10

\frac{sin ( a )}{7} \cdot 10 = \frac{sin ( \frac{2757}{2000} )}{70} \cdot 10

化简

\frac{sin ( a )}{7} \cdot 10 = \frac{sin ( \frac{2757}{2000} )}{70} \cdot 10

化简

\frac{sin ( a )}{7} \cdot 10 : \frac{10 sin ( a )}{7}

\frac{sin ( a )}{7} \cdot 10

分式相乘:

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

= \frac{sin ( a ) \cdot 10}{7}

化简

\frac{sin ( \frac{2757}{2000} )}{70} \cdot 10 : \frac{sin ( \frac{2757}{2000} )}{7}

\frac{sin ( \frac{2757}{2000} )}{70} \cdot 10

分式相乘:

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

= \frac{sin ( \frac{2757}{2000} ) \cdot 10}{70}

约分:

10

= \frac{sin ( \frac{2757}{2000} )}{7}

\frac{10 sin ( a )}{7} = \frac{sin ( \frac{2757}{2000} )}{7}

\frac{10 sin ( a )}{7} = \frac{sin ( \frac{2757}{2000} )}{7}

\frac{10 sin ( a )}{7} = \frac{sin ( \frac{2757}{2000} )}{7}

在两边乘以

7

\frac{10 sin ( a )}{7} = \frac{sin ( \frac{2757}{2000} )}{7}

在两边乘以

7

\frac{7 \cdot 10 sin ( a )}{7} = \frac{7 sin ( \frac{2757}{2000} )}{7}

化简

10 sin (a) = sin (\frac{2757}{2000})

10 sin (a) = sin (\frac{2757}{2000})

两边除以

10

10 sin (a) = sin (\frac{2757}{2000})

两边除以

10

\frac{10 sin ( a )}{10} = \frac{sin ( \frac{2757}{2000} )}{10}

化简

sin (a) = \frac{sin ( \frac{2757}{2000} )}{10}

sin (a) = \frac{sin ( \frac{2757}{2000} )}{10}

使用反三角函数性质

sin (a) = \frac{sin ( \frac{2757}{2000} )}{10}

sin (a) = \frac{sin ( \frac{2757}{2000} )}{10}

的通解

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

a = arcsin (\frac{sin ( \frac{2757}{2000} )}{10}) + 2 πn, a = π - arcsin (\frac{sin ( \frac{2757}{2000} )}{10}) + 2 πn

a = arcsin (\frac{sin ( \frac{2757}{2000} )}{10}) + 2 πn, a = π - arcsin (\frac{sin ( \frac{2757}{2000} )}{10}) + 2 πn

以小数形式表示解

a = 0.09831 \dots + 2 πn, a = π - 0.09831 \dots + 2 πn

作图

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