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受欢迎的三角函数 >

1.25sin(30)=1.5sin(x)

解答

1.25 sin (3 0^{\circ}) = 1.5 sin (x)

解答

x = 0.42977 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.42977 \dots + 36 0^{\circ} n

+1

弧度

x = 0.42977 \dots + 2 πn, x = π - 0.42977 \dots + 2 πn

求解步骤

1.25 sin (3 0^{\circ}) = 1.5 sin (x)

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 0^{\circ})

使用以下普通恒等式:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 0^{\circ})

sin (x)

周期表（周期为

36 0^{\circ} n

"）：

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{1}{2}

= \frac{1}{2}

1.25 \cdot \frac{1}{2} = 1.5 sin (x)

交换两边

1.5 sin (x) = 1.25 \cdot \frac{1}{2}

两边除以

1.5

1.5 sin (x) = 1.25 \cdot \frac{1}{2}

两边除以

1.5

\frac{1.5 sin ( x )}{1.5} = \frac{1.25 \cdot \frac{1}{2}}{1.5}

化简

\frac{1.5 sin ( x )}{1.5} = \frac{1.25 \cdot \frac{1}{2}}{1.5}

化简

\frac{1.5 sin ( x )}{1.5} : sin (x)

\frac{1.5 sin ( x )}{1.5}

约分:

1.5

= sin (x)

化简

\frac{1.25 \cdot \frac{1}{2}}{1.5} : 0.41666 \dots

\frac{1.25 \cdot \frac{1}{2}}{1.5}

乘

1.25 \cdot \frac{1}{2} : 0.625

1.25 \cdot \frac{1}{2}

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 1.25}{2}

数字相乘:

1 \cdot 1.25 = 1.25

= \frac{1.25}{2}

数字相除:

\frac{1.25}{2} = 0.625

= 0.625

= \frac{0.625}{1.5}

数字相除:

\frac{0.625}{1.5} = 0.41666 \dots

= 0.41666 \dots

sin (x) = 0.41666 \dots

sin (x) = 0.41666 \dots

sin (x) = 0.41666 \dots

使用反三角函数性质

sin (x) = 0.41666 \dots

sin (x) = 0.41666 \dots

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 = arcsin (0.41666 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.41666 \dots) + 36 0^{\circ} n

x = arcsin (0.41666 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.41666 \dots) + 36 0^{\circ} n

以小数形式表示解

x = 0.42977 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.42977 \dots + 36 0^{\circ} n

作图

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