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受欢迎的三角函数 >

(sin(8))/(30)=(sin(θ))/(120)

解答

\frac{sin ( 8 )}{30} = \frac{sin ( θ )}{120}

解答

θ \in R 无解

求解步骤

\frac{sin ( 8 )}{30} = \frac{sin ( θ )}{120}

交换两边

\frac{sin ( θ )}{120} = \frac{sin ( 8 )}{30}

在两边乘以

10

\frac{sin ( θ )}{120} = \frac{sin ( 8 )}{30}

在两边乘以

10

\frac{sin ( θ )}{120} \cdot 10 = \frac{sin ( 8 )}{30} \cdot 10

化简

\frac{sin ( θ )}{120} \cdot 10 = \frac{sin ( 8 )}{30} \cdot 10

化简

\frac{sin ( θ )}{120} \cdot 10 : \frac{sin ( θ )}{12}

\frac{sin ( θ )}{120} \cdot 10

分式相乘:

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

= \frac{sin ( θ ) \cdot 10}{120}

约分:

10

= \frac{sin ( θ )}{12}

化简

\frac{sin ( 8 )}{30} \cdot 10 : \frac{sin ( 8 )}{3}

\frac{sin ( 8 )}{30} \cdot 10

分式相乘:

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

= \frac{sin ( 8 ) \cdot 10}{30}

约分:

10

= \frac{sin ( 8 )}{3}

\frac{sin ( θ )}{12} = \frac{sin ( 8 )}{3}

\frac{sin ( θ )}{12} = \frac{sin ( 8 )}{3}

\frac{sin ( θ )}{12} = \frac{sin ( 8 )}{3}

在两边乘以

12

\frac{sin ( θ )}{12} = \frac{sin ( 8 )}{3}

在两边乘以

12

\frac{12 sin ( θ )}{12} = \frac{12 sin ( 8 )}{3}

化简

sin (θ) = 4 sin (8)

sin (θ) = 4 sin (8)

- 1 \leq sin (x) \leq 1

θ \in R 无解

作图

流行的例子

114 = sin (x)

cos(θ)=(11.14)/(13)

cos (θ) = \frac{11.14}{13}

cos (t) = 0.5

cos(2θ)(4sin^2(θ)+1)=0

cos (2 θ) (4 sin^{2} (θ) + 1) = 0

sin (x) = 0.9906