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受欢迎的三角函数 >

solvefor y,x+tan(xy)=0

解答

求解

y, x + tan (x y) = 0

解答

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

求解步骤

x + tan (x y) = 0

将

x

到右边

x + tan (x y) = 0

两边减去

x

x + tan (x y) - x = 0 - x

化简

tan (x y) = - x

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

流行的例子

- sin (2 θ) = 0

∣ cos (2 x) ∣ = 1

sin^3(x)=sin^3(x)tan(x)

sin^{3} (x) = sin^{3} (x) tan (x)

-4sin^2(θ)-7sin(θ)+7=0

- 4 sin^{2} (θ) - 7 sin (θ) + 7 = 0

2 cos^{2} (4 x) = 1