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受欢迎的三角函数 >

18= 1/295*sin(θ)

解答

18 = \frac{1}{2} \cdot 9 \cdot 5 \cdot sin (θ)

解答

θ = 0.92729 \dots + 2 πn, θ = π - 0.92729 \dots + 2 πn

+1

度数

θ = 53.13010 \dots^{\circ} + 36 0^{\circ} n, θ = 126.86989 \dots^{\circ} + 36 0^{\circ} n

求解步骤

18 = \frac{1}{2} \cdot 9 \cdot 5 sin (θ)

交换两边

\frac{1}{2} \cdot 9 \cdot 5 sin (θ) = 18

化简

\frac{1}{2} \cdot 9 \cdot 5 : \frac{45}{2}

\frac{1}{2} \cdot 9 \cdot 5

将项转换为分式:

9 = \frac{9}{1}

= 5 \cdot \frac{1}{2} \cdot \frac{9}{1}

将项转换为分式:

5 = \frac{5}{1}

= \frac{1}{2} \cdot \frac{9}{1} \cdot \frac{5}{1}

分式相乘:

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

= \frac{1 \cdot 9 \cdot 5}{2 \cdot 1 \cdot 1}

约分:

1

= \frac{9 \cdot 5}{2 \cdot 1}

数字相乘:

9 \cdot 5 = 45

= \frac{45}{2 \cdot 1}

数字相乘:

2 \cdot 1 = 2

= \frac{45}{2}

\frac{45}{2} sin (θ) = 18

在两边乘以

2

\frac{45}{2} sin (θ) = 18

在两边乘以

2

2 \cdot \frac{45}{2} sin (θ) = 18 \cdot 2

化简

45 sin (θ) = 36

45 sin (θ) = 36

两边除以

45

45 sin (θ) = 36

两边除以

45

\frac{45 sin ( θ )}{45} = \frac{36}{45}

化简

sin (θ) = \frac{4}{5}

sin (θ) = \frac{4}{5}

使用反三角函数性质

sin (θ) = \frac{4}{5}

sin (θ) = \frac{4}{5}

的通解

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

θ = arcsin (\frac{4}{5}) + 2 πn, θ = π - arcsin (\frac{4}{5}) + 2 πn

θ = arcsin (\frac{4}{5}) + 2 πn, θ = π - arcsin (\frac{4}{5}) + 2 πn

以小数形式表示解

θ = 0.92729 \dots + 2 πn, θ = π - 0.92729 \dots + 2 πn

作图

流行的例子

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2 cos^{2} (x) = cos^{2} (x)

sin (\frac{π x}{2}) = 0

sin(x)= 1/2 sqrt(2)

sin (x) = \frac{1}{2} 2

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8 cos (2 x) = 2 sin (x) + 7

cos(θ)=0.5332,θ

cos (θ) = 0.5332, θ