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受欢迎的三角函数 >

(sin(b))/(19)=(sin(74))/(19)

解答

\frac{sin ( b )}{19} = \frac{sin ( 7 4 ^{\circ} )}{19}

解答

b = 1.29154 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 1.29154 \dots + 36 0^{\circ} n

+1

弧度

b = 1.29154 \dots + 2 πn, b = π - 1.29154 \dots + 2 πn

求解步骤

\frac{sin ( b )}{19} = \frac{sin ( 7 4 ^{\circ} )}{19}

在两边乘以

19

\frac{sin ( b )}{19} = \frac{sin ( 7 4 ^{\circ} )}{19}

在两边乘以

19

\frac{19 sin ( b )}{19} = \frac{19 sin ( 7 4 ^{\circ} )}{19}

化简

sin (b) = sin (7 4^{\circ})

sin (b) = sin (7 4^{\circ})

使用反三角函数性质

sin (b) = sin (7 4^{\circ})

sin (b) = sin (7 4^{\circ})

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

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

以小数形式表示解

b = 1.29154 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 1.29154 \dots + 36 0^{\circ} n

作图

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