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受欢迎的三角函数 >

(sin(θ))/(60)=(sin(45))/(246.26)

解答

\frac{sin ( θ )}{60} = \frac{sin ( 4 5 ^{\circ} )}{246.26}

解答

θ = 0.17314 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.17314 \dots + 36 0^{\circ} n

+1

弧度

θ = 0.17314 \dots + 2 πn, θ = π - 0.17314 \dots + 2 πn

求解步骤

\frac{sin ( θ )}{60} = \frac{sin ( 4 5 ^{\circ} )}{246.26}

sin (4 5^{\circ}) = \frac{2}{2}

sin (4 5^{\circ})

使用以下普通恒等式:

sin (4 5^{\circ}) = \frac{2}{2}

sin (4 5^{\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{2}{2}

= \frac{2}{2}

\frac{sin ( θ )}{60} = \frac{\frac{2}{2}}{246.26}

在两边乘以

10

\frac{sin ( θ )}{60} = \frac{\frac{2}{2}}{246.26}

在两边乘以

10

\frac{sin ( θ )}{60} \cdot 10 = \frac{\frac{2}{2}}{246.26} \cdot 10

化简

\frac{sin ( θ )}{60} \cdot 10 = \frac{\frac{2}{2}}{246.26} \cdot 10

化简

\frac{sin ( θ )}{60} \cdot 10 : \frac{sin ( θ )}{6}

\frac{sin ( θ )}{60} \cdot 10

分式相乘:

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

= \frac{sin ( θ ) \cdot 10}{60}

约分:

10

= \frac{sin ( θ )}{6}

化简

\frac{\frac{2}{2}}{246.26} \cdot 10 : \frac{10 2}{492.52}

\frac{\frac{2}{2}}{246.26} \cdot 10

\frac{\frac{2}{2}}{246.26} = \frac{2}{492.52}

\frac{\frac{2}{2}}{246.26}

使用分式法则:

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

= \frac{2}{2 \cdot 246.26}

数字相乘:

2 \cdot 246.26 = 492.52

= \frac{2}{492.52}

= 10 \cdot \frac{2}{492.52}

分式相乘:

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

= \frac{2 \cdot 10}{492.52}

\frac{sin ( θ )}{6} = \frac{10 2}{492.52}

\frac{sin ( θ )}{6} = \frac{10 2}{492.52}

\frac{sin ( θ )}{6} = \frac{10 2}{492.52}

在两边乘以

6

\frac{sin ( θ )}{6} = \frac{10 2}{492.52}

在两边乘以

6

\frac{6 sin ( θ )}{6} = \frac{6 \cdot 10 2}{492.52}

化简

\frac{6 sin ( θ )}{6} = \frac{6 \cdot 10 2}{492.52}

化简

\frac{6 sin ( θ )}{6} : sin (θ)

\frac{6 sin ( θ )}{6}

数字相除:

\frac{6}{6} = 1

= sin (θ)

化简

\frac{6 \cdot 10 2}{492.52} : 0.17228 \dots

\frac{6 \cdot 10 2}{492.52}

数字相乘:

6 \cdot 10 = 60

= \frac{60 2}{492.52}

转换为小数形式

2 = 1.41421 \dots

= \frac{60 \cdot 1.41421 \dots}{492.52}

数字相乘:

60 \cdot 1.41421 \dots = 84.85281 \dots

= \frac{84.85281 \dots}{492.52}

数字相除:

\frac{84.85281 \dots}{492.52} = 0.17228 \dots

= 0.17228 \dots

sin (θ) = 0.17228 \dots

sin (θ) = 0.17228 \dots

sin (θ) = 0.17228 \dots

使用反三角函数性质

sin (θ) = 0.17228 \dots

sin (θ) = 0.17228 \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

θ = arcsin (0.17228 \dots) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (0.17228 \dots) + 36 0^{\circ} n

θ = arcsin (0.17228 \dots) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (0.17228 \dots) + 36 0^{\circ} n

以小数形式表示解

θ = 0.17314 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.17314 \dots + 36 0^{\circ} n

作图

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