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受欢迎的三角函数 >

cos(10x)=0

解答

cos (10 x) = 0

解答

x = \frac{π}{20} + \frac{πn}{5}, x = \frac{3 π}{20} + \frac{πn}{5}

+1

度数

x = 9^{\circ} + 3 6^{\circ} n, x = 2 7^{\circ} + 3 6^{\circ} n

求解步骤

cos (10 x) = 0

cos (10 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}

10 x = \frac{π}{2} + 2 πn, 10 x = \frac{3 π}{2} + 2 πn

10 x = \frac{π}{2} + 2 πn, 10 x = \frac{3 π}{2} + 2 πn

解

10 x = \frac{π}{2} + 2 πn : x = \frac{π}{20} + \frac{πn}{5}

10 x = \frac{π}{2} + 2 πn

两边除以

10

10 x = \frac{π}{2} + 2 πn

两边除以

10

\frac{10 x}{10} = \frac{\frac{π}{2}}{10} + \frac{2 πn}{10}

化简

\frac{10 x}{10} = \frac{\frac{π}{2}}{10} + \frac{2 πn}{10}

化简

\frac{10 x}{10} : x

\frac{10 x}{10}

数字相除:

\frac{10}{10} = 1

= x

化简

\frac{\frac{π}{2}}{10} + \frac{2 πn}{10} : \frac{π}{20} + \frac{πn}{5}

\frac{\frac{π}{2}}{10} + \frac{2 πn}{10}

\frac{\frac{π}{2}}{10} = \frac{π}{20}

\frac{\frac{π}{2}}{10}

使用分式法则:

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

= \frac{π}{2 \cdot 10}

数字相乘:

2 \cdot 10 = 20

= \frac{π}{20}

\frac{2 πn}{10} = \frac{πn}{5}

\frac{2 πn}{10}

约分:

2

= \frac{πn}{5}

= \frac{π}{20} + \frac{πn}{5}

x = \frac{π}{20} + \frac{πn}{5}

x = \frac{π}{20} + \frac{πn}{5}

x = \frac{π}{20} + \frac{πn}{5}

解

10 x = \frac{3 π}{2} + 2 πn : x = \frac{3 π}{20} + \frac{πn}{5}

10 x = \frac{3 π}{2} + 2 πn

两边除以

10

10 x = \frac{3 π}{2} + 2 πn

两边除以

10

\frac{10 x}{10} = \frac{\frac{3 π}{2}}{10} + \frac{2 πn}{10}

化简

\frac{10 x}{10} = \frac{\frac{3 π}{2}}{10} + \frac{2 πn}{10}

化简

\frac{10 x}{10} : x

\frac{10 x}{10}

数字相除:

\frac{10}{10} = 1

= x

化简

\frac{\frac{3 π}{2}}{10} + \frac{2 πn}{10} : \frac{3 π}{20} + \frac{πn}{5}

\frac{\frac{3 π}{2}}{10} + \frac{2 πn}{10}

\frac{\frac{3 π}{2}}{10} = \frac{3 π}{20}

\frac{\frac{3 π}{2}}{10}

使用分式法则:

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

= \frac{3 π}{2 \cdot 10}

数字相乘:

2 \cdot 10 = 20

= \frac{3 π}{20}

\frac{2 πn}{10} = \frac{πn}{5}

\frac{2 πn}{10}

约分:

2

= \frac{πn}{5}

= \frac{3 π}{20} + \frac{πn}{5}

x = \frac{3 π}{20} + \frac{πn}{5}

x = \frac{3 π}{20} + \frac{πn}{5}

x = \frac{3 π}{20} + \frac{πn}{5}

x = \frac{π}{20} + \frac{πn}{5}, x = \frac{3 π}{20} + \frac{πn}{5}

作图

流行的例子

5 + 4 cos (x) = 0

csc^2(x)-csc(x)-2=0,0<= x<= 2pi

csc^{2} (x) - csc (x) - 2 = 0, 0 \leq x \leq 2 π

tan(θ)=-sqrt(6/3)

tan (θ) = - \frac{6}{3}

sin (20 x) = 0

sin(8x)+sin(4x)-0.5sin(6x)=0

sin (8 x) + sin (4 x) - 0.5 sin (6 x) = 0