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受欢迎的三角函数 >

sin(x-53.13)=-2/5

解答

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

解答

x = - 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}, x = 18 0^{\circ} + 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}

+1

弧度

x = - 0.41151 \dots + \frac{1771 π}{6000} + 2 πn, x = π + 0.41151 \dots + \frac{1771 π}{6000} + 2 πn

求解步骤

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

使用反三角函数性质

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

sin (x - 53.1 3^{\circ}) = - \frac{2}{5}

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 - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n, x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n, x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

解

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n : x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x - 53.1 3^{\circ} = arcsin (- \frac{2}{5}) + 36 0^{\circ} n

化简

arcsin (- \frac{2}{5}) + 36 0^{\circ} n : - arcsin (\frac{2}{5}) + 36 0^{\circ} n

arcsin (- \frac{2}{5}) + 36 0^{\circ} n

利用以下特性:

arcsin (- x) = - arcsin (x)

arcsin (- \frac{2}{5}) = - arcsin (\frac{2}{5})

= - arcsin (\frac{2}{5}) + 36 0^{\circ} n

x - 53.1 3^{\circ} = - arcsin (\frac{2}{5}) + 36 0^{\circ} n

将

53.1 3^{\circ}

到右边

x - 53.1 3^{\circ} = - arcsin (\frac{2}{5}) + 36 0^{\circ} n

两边加上

53.1 3^{\circ}

x - 53.1 3^{\circ} + 53.1 3^{\circ} = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

化简

x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

解

x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n : x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

将

53.1 3^{\circ}

到右边

x - 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n

两边加上

53.1 3^{\circ}

x - 53.1 3^{\circ} + 53.1 3^{\circ} = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

化简

x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

x = - arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}, x = 18 0^{\circ} + arcsin (\frac{2}{5}) + 36 0^{\circ} n + 53.1 3^{\circ}

以小数形式表示解

x = - 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}, x = 18 0^{\circ} + 0.41151 \dots + 36 0^{\circ} n + 53.1 3^{\circ}

作图

流行的例子

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