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受欢迎的三角函数 >

1= 1/(0.5)sin(x+30)

解答

1 = \frac{1}{0.5} sin (x + 3 0^{\circ})

解答

x = 36 0^{\circ} n, x = 36 0^{\circ} n + 12 0^{\circ}

+1

弧度

x = 0 + 2 πn, x = \frac{2 π}{3} + 2 πn

求解步骤

1 = \frac{1}{0.5} sin (x + 3 0^{\circ})

交换两边

\frac{1}{0.5} sin (x + 3 0^{\circ}) = 1

在两边乘以

0.5

\frac{1}{0.5} sin (x + 3 0^{\circ}) = 1

在两边乘以

0.5

0.5 \cdot \frac{1}{0.5} sin (x + 3 0^{\circ}) = 1 \cdot 0.5

化简

sin (x + 3 0^{\circ}) = 0.5

sin (x + 3 0^{\circ}) = 0.5

sin (x + 3 0^{\circ}) = 0.5

的通解

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}

x + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n, x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

x + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n, x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

解

x + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n

x + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n

两边减去

3 0^{\circ}

x + 3 0^{\circ} - 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ}

化简

x = 36 0^{\circ} n

解

x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 12 0^{\circ}

x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

将

3 0^{\circ}

到右边

x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

两边减去

3 0^{\circ}

x + 3 0^{\circ} - 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ}

化简

x + 3 0^{\circ} - 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ}

化简

x + 3 0^{\circ} - 3 0^{\circ} : x

x + 3 0^{\circ} - 3 0^{\circ}

同类项相加:

3 0^{\circ} - 3 0^{\circ} = 0

= x

化简

15 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ} : 36 0^{\circ} n + 12 0^{\circ}

15 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ}

对同类项分组

= 36 0^{\circ} n - 3 0^{\circ} + 15 0^{\circ}

合并分式

- 3 0^{\circ} + 15 0^{\circ} : 12 0^{\circ}

使用法则

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

= \frac{- 18 0 ^{\circ} + 90 0 ^{\circ}}{6}

同类项相加:

- 18 0^{\circ} + 90 0^{\circ} = 72 0^{\circ}

= 12 0^{\circ}

约分:

2

= 12 0^{\circ}

= 36 0^{\circ} n + 12 0^{\circ}

x = 36 0^{\circ} n + 12 0^{\circ}

x = 36 0^{\circ} n + 12 0^{\circ}

x = 36 0^{\circ} n + 12 0^{\circ}

x = 36 0^{\circ} n, x = 36 0^{\circ} n + 12 0^{\circ}

作图

流行的例子

3 sec (θ) + 3 = 0

12*9.8*sin(a)-0.6*12*9.8*cos(a)=12*1.79

12 \cdot 9.8 \cdot sin (a) - 0.6 \cdot 12 \cdot 9.8 \cdot cos (a) = 12 \cdot 1.79

solvefor v,a=arctan((v^2)/(gR))

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