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受欢迎的三角函数 >

sqrt(3)cot(1/3 x)=1

解答

3 cot (\frac{1}{3} x) = 1

解答

x = π + 3 πn

+1

度数

x = 18 0^{\circ} + 54 0^{\circ} n

求解步骤

3 cot (\frac{1}{3} x) = 1

两边除以

3

3 cot (\frac{1}{3} x) = 1

两边除以

3

\frac{3 cot ( \frac{1}{3} x )}{3} = \frac{1}{3}

化简

\frac{3 cot ( \frac{1}{3} x )}{3} = \frac{1}{3}

化简

\frac{3 cot ( \frac{1}{3} x )}{3} : cot (\frac{1}{3} x)

\frac{3 cot ( \frac{1}{3} x )}{3}

约分:

3

= cot (\frac{1}{3} x)

化简

\frac{1}{3} : \frac{3}{3}

\frac{1}{3}

乘以共轭根式

\frac{3}{3}

= \frac{1 \cdot 3}{3 3}

1 \cdot 3 = 3

33 = 3

33

使用根式运算法则:

a a = a

33 = 3

= 3

= \frac{3}{3}

cot (\frac{1}{3} x) = \frac{3}{3}

cot (\frac{1}{3} x) = \frac{3}{3}

cot (\frac{1}{3} x) = \frac{3}{3}

cot (\frac{1}{3} x) = \frac{3}{3}

的通解

cot (x)

周期表（周期为

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} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

\frac{1}{3} x = \frac{π}{3} + πn

\frac{1}{3} x = \frac{π}{3} + πn

解

\frac{1}{3} x = \frac{π}{3} + πn : x = π + 3 πn

\frac{1}{3} x = \frac{π}{3} + πn

在两边乘以

3

\frac{1}{3} x = \frac{π}{3} + πn

在两边乘以

3

3 \cdot \frac{1}{3} x = 3 \cdot \frac{π}{3} + 3 πn

化简

3 \cdot \frac{1}{3} x = 3 \cdot \frac{π}{3} + 3 πn

化简

3 \cdot \frac{1}{3} x : x

3 \cdot \frac{1}{3} x

分式相乘:

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

= \frac{1 \cdot 3}{3} x

约分:

3

= x \cdot 1

乘以:

x \cdot 1 = x

= x

化简

3 \cdot \frac{π}{3} + 3 πn : π + 3 πn

3 \cdot \frac{π}{3} + 3 πn

3 \cdot \frac{π}{3} = π

3 \cdot \frac{π}{3}

分式相乘:

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

= \frac{π 3}{3}

约分:

3

= π

= π + 3 πn

x = π + 3 πn

x = π + 3 πn

x = π + 3 πn

x = π + 3 πn

作图

流行的例子

sin(x)=tan(x/2)

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

2sin^2(x)-17sin(x)+8=0

2 sin^{2} (x) - 17 sin (x) + 8 = 0

4cos^2(t)sin(t)-2cos(t)sin(t)=0

4 cos^{2} (t) sin (t) - 2 cos (t) sin (t) = 0

3(1-sin(θ))=2cos^2(θ)

3 (1 - sin (θ)) = 2 cos^{2} (θ)

sin(x)=(sqrt(5))/5

sin (x) = \frac{5}{5}