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受欢迎的三角函数 >

(sin(74))/8 =(sin(a))/4

解答

\frac{sin ( 7 4 ^{\circ} )}{8} = \frac{sin ( a )}{4}

解答

a = 0.50137 \dots + 36 0^{\circ} n, a = 18 0^{\circ} - 0.50137 \dots + 36 0^{\circ} n

+1

弧度

a = 0.50137 \dots + 2 πn, a = π - 0.50137 \dots + 2 πn

求解步骤

\frac{sin ( 7 4 ^{\circ} )}{8} = \frac{sin ( a )}{4}

交换两边

\frac{sin ( a )}{4} = \frac{sin ( 7 4 ^{\circ} )}{8}

在两边乘以

4

\frac{sin ( a )}{4} = \frac{sin ( 7 4 ^{\circ} )}{8}

在两边乘以

4

\frac{4 sin ( a )}{4} = \frac{4 sin ( 7 4 ^{\circ} )}{8}

化简

sin (a) = \frac{sin ( 7 4 ^{\circ} )}{2}

sin (a) = \frac{sin ( 7 4 ^{\circ} )}{2}

使用反三角函数性质

sin (a) = \frac{sin ( 7 4 ^{\circ} )}{2}

sin (a) = \frac{sin ( 7 4 ^{\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

a = arcsin (\frac{sin ( 7 4 ^{\circ} )}{2}) + 36 0^{\circ} n, a = 18 0^{\circ} - arcsin (\frac{sin ( 7 4 ^{\circ} )}{2}) + 36 0^{\circ} n

a = arcsin (\frac{sin ( 7 4 ^{\circ} )}{2}) + 36 0^{\circ} n, a = 18 0^{\circ} - arcsin (\frac{sin ( 7 4 ^{\circ} )}{2}) + 36 0^{\circ} n

以小数形式表示解

a = 0.50137 \dots + 36 0^{\circ} n, a = 18 0^{\circ} - 0.50137 \dots + 36 0^{\circ} n

作图

流行的例子

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tan (x) = \frac{π}{3}

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