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受欢迎的三角函数 >

(sin(48))/(13)=(sin(b))/(16)

解答

\frac{sin ( 4 8 ^{\circ} )}{13} = \frac{sin ( b )}{16}

解答

b = 1.15461 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 1.15461 \dots + 36 0^{\circ} n

+1

弧度

b = 1.15461 \dots + 2 πn, b = π - 1.15461 \dots + 2 πn

求解步骤

\frac{sin ( 4 8 ^{\circ} )}{13} = \frac{sin ( b )}{16}

交换两边

\frac{sin ( b )}{16} = \frac{sin ( 4 8 ^{\circ} )}{13}

在两边乘以

16

\frac{sin ( b )}{16} = \frac{sin ( 4 8 ^{\circ} )}{13}

在两边乘以

16

\frac{16 sin ( b )}{16} = \frac{16 sin ( 4 8 ^{\circ} )}{13}

化简

sin (b) = \frac{16 sin ( 4 8 ^{\circ} )}{13}

sin (b) = \frac{16 sin ( 4 8 ^{\circ} )}{13}

使用反三角函数性质

sin (b) = \frac{16 sin ( 4 8 ^{\circ} )}{13}

sin (b) = \frac{16 sin ( 4 8 ^{\circ} )}{13}

的通解

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

b = arcsin (\frac{16 sin ( 4 8 ^{\circ} )}{13}) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (\frac{16 sin ( 4 8 ^{\circ} )}{13}) + 36 0^{\circ} n

b = arcsin (\frac{16 sin ( 4 8 ^{\circ} )}{13}) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (\frac{16 sin ( 4 8 ^{\circ} )}{13}) + 36 0^{\circ} n

以小数形式表示解

b = 1.15461 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 1.15461 \dots + 36 0^{\circ} n

作图

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