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受欢迎的三角函数 >

1.65sin(30)=1.33sin(x)

解答

1.65 \cdot sin (3 0^{\circ}) = 1.33 \cdot sin (x)

解答

x = 0.66912 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.66912 \dots + 36 0^{\circ} n

+1

弧度

x = 0.66912 \dots + 2 πn, x = π - 0.66912 \dots + 2 πn

求解步骤

1.65 sin (3 0^{\circ}) = 1.33 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}

1.65 \cdot \frac{1}{2} = 1.33 sin (x)

交换两边

1.33 sin (x) = 1.65 \cdot \frac{1}{2}

两边除以

1.33

1.33 sin (x) = 1.65 \cdot \frac{1}{2}

两边除以

1.33

\frac{1.33 sin ( x )}{1.33} = \frac{1.65 \cdot \frac{1}{2}}{1.33}

化简

\frac{1.33 sin ( x )}{1.33} = \frac{1.65 \cdot \frac{1}{2}}{1.33}

化简

\frac{1.33 sin ( x )}{1.33} : sin (x)

\frac{1.33 sin ( x )}{1.33}

约分:

1.33

= sin (x)

化简

\frac{1.65 \cdot \frac{1}{2}}{1.33} : 0.62030 \dots

\frac{1.65 \cdot \frac{1}{2}}{1.33}

乘

1.65 \cdot \frac{1}{2} : 0.825

1.65 \cdot \frac{1}{2}

分式相乘:

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

= \frac{1 \cdot 1.65}{2}

数字相乘:

1 \cdot 1.65 = 1.65

= \frac{1.65}{2}

数字相除:

\frac{1.65}{2} = 0.825

= 0.825

= \frac{0.825}{1.33}

数字相除:

\frac{0.825}{1.33} = 0.62030 \dots

= 0.62030 \dots

sin (x) = 0.62030 \dots

sin (x) = 0.62030 \dots

sin (x) = 0.62030 \dots

使用反三角函数性质

sin (x) = 0.62030 \dots

sin (x) = 0.62030 \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 (0.62030 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.62030 \dots) + 36 0^{\circ} n

x = arcsin (0.62030 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.62030 \dots) + 36 0^{\circ} n

以小数形式表示解

x = 0.66912 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.66912 \dots + 36 0^{\circ} n

作图

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