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受欢迎的三角函数 >

sin(x-30)=0.7

解答

sin (x - 3 0^{\circ}) = 0.7

解答

x = 0.77539 \dots + 36 0^{\circ} n + 3 0^{\circ}, x = 18 0^{\circ} - 0.77539 \dots + 36 0^{\circ} n + 3 0^{\circ}

+1

弧度

x = 0.77539 \dots + \frac{π}{6} + 2 πn, x = π - 0.77539 \dots + \frac{π}{6} + 2 πn

求解步骤

sin (x - 3 0^{\circ}) = 0.7

使用反三角函数性质

sin (x - 3 0^{\circ}) = 0.7

sin (x - 3 0^{\circ}) = 0.7

的通解

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

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n, x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n, x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

解

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n : x = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n

将

3 0^{\circ}

到右边

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n

两边加上

3 0^{\circ}

x - 3 0^{\circ} + 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

化简

x = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

解

x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n : x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

将

3 0^{\circ}

到右边

x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

两边加上

3 0^{\circ}

x - 3 0^{\circ} + 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

化简

x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}, x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

以小数形式表示解

x = 0.77539 \dots + 36 0^{\circ} n + 3 0^{\circ}, x = 18 0^{\circ} - 0.77539 \dots + 36 0^{\circ} n + 3 0^{\circ}

作图

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