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受欢迎的三角函数 >

(sin(θ))/(60)=(sin(80))/(280.87)

解答

\frac{sin ( θ )}{60} = \frac{sin ( 8 0 ^{\circ} )}{280.87}

解答

θ = 0.21196 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.21196 \dots + 36 0^{\circ} n

+1

弧度

θ = 0.21196 \dots + 2 πn, θ = π - 0.21196 \dots + 2 πn

求解步骤

\frac{sin ( θ )}{60} = \frac{sin ( 8 0 ^{\circ} )}{280.87}

在两边乘以

10

\frac{sin ( θ )}{60} = \frac{sin ( 8 0 ^{\circ} )}{280.87}

在两边乘以

10

\frac{sin ( θ )}{60} \cdot 10 = \frac{sin ( 8 0 ^{\circ} )}{280.87} \cdot 10

化简

\frac{sin ( θ )}{60} \cdot 10 = \frac{sin ( 8 0 ^{\circ} )}{280.87} \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{sin ( 8 0 ^{\circ} )}{280.87} \cdot 10 : \frac{10 sin ( 8 0 ^{\circ} )}{280.87}

\frac{sin ( 8 0 ^{\circ} )}{280.87} \cdot 10

分式相乘:

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

= \frac{sin ( 8 0 ^{\circ} ) \cdot 10}{280.87}

\frac{sin ( θ )}{6} = \frac{10 sin ( 8 0 ^{\circ} )}{280.87}

\frac{sin ( θ )}{6} = \frac{10 sin ( 8 0 ^{\circ} )}{280.87}

\frac{sin ( θ )}{6} = \frac{10 sin ( 8 0 ^{\circ} )}{280.87}

在两边乘以

6

\frac{sin ( θ )}{6} = \frac{10 sin ( 8 0 ^{\circ} )}{280.87}

在两边乘以

6

\frac{6 sin ( θ )}{6} = \frac{6 \cdot 10 sin ( 8 0 ^{\circ} )}{280.87}

化简

\frac{6 sin ( θ )}{6} = \frac{6 \cdot 10 sin ( 8 0 ^{\circ} )}{280.87}

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 sin ( 8 0 ^{\circ} )}{280.87} : \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

\frac{6 \cdot 10 sin ( 8 0 ^{\circ} )}{280.87}

数字相乘:

6 \cdot 10 = 60

= \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

sin (θ) = \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

sin (θ) = \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

sin (θ) = \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

使用反三角函数性质

sin (θ) = \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

sin (θ) = \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

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 (\frac{60 sin ( 8 0 ^{\circ} )}{280.87}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{60 sin ( 8 0 ^{\circ} )}{280.87}) + 36 0^{\circ} n

θ = arcsin (\frac{60 sin ( 8 0 ^{\circ} )}{280.87}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{60 sin ( 8 0 ^{\circ} )}{280.87}) + 36 0^{\circ} n

以小数形式表示解

θ = 0.21196 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.21196 \dots + 36 0^{\circ} n

作图

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