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受欢迎的三角函数 >

solvefor x,p+3q=z+cot(y-3x)

解答

求解

x, p + 3 q = z + cot (y - 3 x)

解答

x = - \frac{arccot ( p + 3 q - z )}{3} - \frac{πn}{3} + \frac{y}{3}

求解步骤

p + 3 q = z + cot (y - 3 x)

交换两边

z + cot (y - 3 x) = p + 3 q

将

z

到右边

z + cot (y - 3 x) = p + 3 q

两边减去

z

z + cot (y - 3 x) - z = p + 3 q - z

化简

cot (y - 3 x) = p + 3 q - z

cot (y - 3 x) = p + 3 q - z

使用反三角函数性质

cot (y - 3 x) = p + 3 q - z

cot (y - 3 x) = p + 3 q - z

的通解

cot (x) = a \Rightarrow x = arccot (a) + πn

y - 3 x = arccot (p + 3 q - z) + πn

y - 3 x = arccot (p + 3 q - z) + πn

解

y - 3 x = arccot (p + 3 q - z) + πn : x = - \frac{arccot ( p + 3 q - z )}{3} - \frac{πn}{3} + \frac{y}{3}

y - 3 x = arccot (p + 3 q - z) + πn

将

y

到右边

y - 3 x = arccot (p + 3 q - z) + πn

两边减去

y

y - 3 x - y = arccot (p + 3 q - z) + πn - y

化简

- 3 x = arccot (p + 3 q - z) + πn - y

- 3 x = arccot (p + 3 q - z) + πn - y

两边除以

- 3

- 3 x = arccot (p + 3 q - z) + πn - y

两边除以

- 3

\frac{- 3 x}{- 3} = \frac{arccot ( p + 3 q - z )}{- 3} + \frac{πn}{- 3} - \frac{y}{- 3}

化简

\frac{- 3 x}{- 3} = \frac{arccot ( p + 3 q - z )}{- 3} + \frac{πn}{- 3} - \frac{y}{- 3}

化简

\frac{- 3 x}{- 3} : x

\frac{- 3 x}{- 3}

使用分式法则:

\frac{- a}{- b} = \frac{a}{b}

= \frac{3 x}{3}

数字相除:

\frac{3}{3} = 1

= x

化简

\frac{arccot ( p + 3 q - z )}{- 3} + \frac{πn}{- 3} - \frac{y}{- 3} : - \frac{arccot ( p + 3 q - z )}{3} - \frac{πn}{3} + \frac{y}{3}

\frac{arccot ( p + 3 q - z )}{- 3} + \frac{πn}{- 3} - \frac{y}{- 3}

使用分式法则:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{arccot ( p + 3 q - z )}{3} + \frac{πn}{- 3} - \frac{y}{- 3}

使用分式法则:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{arccot ( p + 3 q - z )}{3} - \frac{πn}{3} - \frac{y}{- 3}

使用分式法则:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{arccot ( p + 3 q - z )}{3} - \frac{πn}{3} - (- \frac{y}{3})

使用法则

- (- a) = a

= - \frac{arccot ( p + 3 q - z )}{3} - \frac{πn}{3} + \frac{y}{3}

x = - \frac{arccot ( p + 3 q - z )}{3} - \frac{πn}{3} + \frac{y}{3}

x = - \frac{arccot ( p + 3 q - z )}{3} - \frac{πn}{3} + \frac{y}{3}

x = - \frac{arccot ( p + 3 q - z )}{3} - \frac{πn}{3} + \frac{y}{3}

x = - \frac{arccot ( p + 3 q - z )}{3} - \frac{πn}{3} + \frac{y}{3}

作图

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