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受欢迎的三角函数 >

solvefor y,tan(xy)=x

解答

求解

y, tan (x y) = x

解答

y = \frac{arctan ( x )}{x} + \frac{πn}{x}

求解步骤

tan (x y) = x

使用反三角函数性质

tan (x y) = x

tan (x y) = x

的通解

tan (x) = a \Rightarrow x = arctan (a) + πn

x y = arctan (x) + πn

x y = arctan (x) + πn

解

x y = arctan (x) + πn : y = \frac{arctan ( x )}{x} + \frac{πn}{x}; x \neq = 0

x y = arctan (x) + πn

两边除以

x; x \neq = 0

x y = arctan (x) + πn

两边除以

x; x \neq = 0

\frac{x y}{x} = \frac{arctan ( x )}{x} + \frac{πn}{x}; x \neq = 0

化简

y = \frac{arctan ( x )}{x} + \frac{πn}{x}; x \neq = 0

y = \frac{arctan ( x )}{x} + \frac{πn}{x}; x \neq = 0

y = \frac{arctan ( x )}{x} + \frac{πn}{x}

作图

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