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受欢迎的三角函数 >

solvefor t,x=tan^2(t)

解答

求解

t, x = tan^{2} (t)

解答

t = arctan (x) + πn, t = arctan (- x) + πn

求解步骤

x = tan^{2} (t)

交换两边

tan^{2} (t) = x

用替代法求解

tan^{2} (t) = x

令

: tan (t) = u

u^{2} = x

u^{2} = x : u = x, u = - x

u^{2} = x

对于

x^{2} = f (a)

解为

x = f (a), - f (a)

u = x, u = - x

u = tan (t)

代回

tan (t) = x, tan (t) = - x

tan (t) = x, tan (t) = - x

tan (t) = x : t = arctan (x) + πn

tan (t) = x

使用反三角函数性质

tan (t) = x

tan (t) = x

的通解

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

t = arctan (x) + πn

t = arctan (x) + πn

tan (t) = - x : t = arctan (- x) + πn

tan (t) = - x

使用反三角函数性质

tan (t) = - x

tan (t) = - x

的通解

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

t = arctan (- x) + πn

t = arctan (- x) + πn

合并所有解

t = arctan (x) + πn, t = arctan (- x) + πn

作图

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