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受欢迎的三角函数 >

-900cos(30x)=0

解答

- 900 cos (30 x) = 0

解答

x = \frac{π}{60} + \frac{πn}{15}, x = \frac{π}{20} + \frac{πn}{15}

+1

度数

x = 3^{\circ} + 1 2^{\circ} n, x = 9^{\circ} + 1 2^{\circ} n

求解步骤

- 900 cos (30 x) = 0

两边除以

- 900

- 900 cos (30 x) = 0

两边除以

- 900

\frac{- 900 cos ( 30 x )}{- 900} = \frac{0}{- 900}

化简

cos (30 x) = 0

cos (30 x) = 0

cos (30 x) = 0

的通解

cos (x)

周期表（周期为

2 πn

）：

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

30 x = \frac{π}{2} + 2 πn, 30 x = \frac{3 π}{2} + 2 πn

30 x = \frac{π}{2} + 2 πn, 30 x = \frac{3 π}{2} + 2 πn

解

30 x = \frac{π}{2} + 2 πn : x = \frac{π}{60} + \frac{πn}{15}

30 x = \frac{π}{2} + 2 πn

两边除以

30

30 x = \frac{π}{2} + 2 πn

两边除以

30

\frac{30 x}{30} = \frac{\frac{π}{2}}{30} + \frac{2 πn}{30}

化简

\frac{30 x}{30} = \frac{\frac{π}{2}}{30} + \frac{2 πn}{30}

化简

\frac{30 x}{30} : x

\frac{30 x}{30}

数字相除:

\frac{30}{30} = 1

= x

化简

\frac{\frac{π}{2}}{30} + \frac{2 πn}{30} : \frac{π}{60} + \frac{πn}{15}

\frac{\frac{π}{2}}{30} + \frac{2 πn}{30}

\frac{\frac{π}{2}}{30} = \frac{π}{60}

\frac{\frac{π}{2}}{30}

使用分式法则:

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

= \frac{π}{2 \cdot 30}

数字相乘:

2 \cdot 30 = 60

= \frac{π}{60}

\frac{2 πn}{30} = \frac{πn}{15}

\frac{2 πn}{30}

约分:

2

= \frac{πn}{15}

= \frac{π}{60} + \frac{πn}{15}

x = \frac{π}{60} + \frac{πn}{15}

x = \frac{π}{60} + \frac{πn}{15}

x = \frac{π}{60} + \frac{πn}{15}

解

30 x = \frac{3 π}{2} + 2 πn : x = \frac{π}{20} + \frac{πn}{15}

30 x = \frac{3 π}{2} + 2 πn

两边除以

30

30 x = \frac{3 π}{2} + 2 πn

两边除以

30

\frac{30 x}{30} = \frac{\frac{3 π}{2}}{30} + \frac{2 πn}{30}

化简

\frac{30 x}{30} = \frac{\frac{3 π}{2}}{30} + \frac{2 πn}{30}

化简

\frac{30 x}{30} : x

\frac{30 x}{30}

数字相除:

\frac{30}{30} = 1

= x

化简

\frac{\frac{3 π}{2}}{30} + \frac{2 πn}{30} : \frac{π}{20} + \frac{πn}{15}

\frac{\frac{3 π}{2}}{30} + \frac{2 πn}{30}

\frac{\frac{3 π}{2}}{30} = \frac{π}{20}

\frac{\frac{3 π}{2}}{30}

使用分式法则:

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

= \frac{3 π}{2 \cdot 30}

数字相乘:

2 \cdot 30 = 60

= \frac{3 π}{60}

约分:

3

= \frac{π}{20}

\frac{2 πn}{30} = \frac{πn}{15}

\frac{2 πn}{30}

约分:

2

= \frac{πn}{15}

= \frac{π}{20} + \frac{πn}{15}

x = \frac{π}{20} + \frac{πn}{15}

x = \frac{π}{20} + \frac{πn}{15}

x = \frac{π}{20} + \frac{πn}{15}

x = \frac{π}{60} + \frac{πn}{15}, x = \frac{π}{20} + \frac{πn}{15}

作图

流行的例子

sin^2(x)=((9m-9))/7

sin^{2} (x) = \frac{( 9 m - 9 )}{7}

sin (x) = 0.55669

6 sin (2 x) = 0

(100*9.8*l(1-cos(θ)))=0.018

(100 \cdot 9.8 \cdot l (1 - cos (θ))) = 0.018

2sin(x)-sin(2x)=sin(x)

2 sin (x) - sin (2 x) = sin (x)