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受欢迎的三角函数 >

solvefor x,3y=tan(6x)

解答

求解

x, 3 y = tan (6 x)

解答

x = \frac{arctan ( 3 y )}{6} + \frac{πn}{6}

求解步骤

3 y = tan (6 x)

交换两边

tan (6 x) = 3 y

使用反三角函数性质

tan (6 x) = 3 y

tan (6 x) = 3 y

的通解

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

6 x = arctan (3 y) + πn

6 x = arctan (3 y) + πn

解

6 x = arctan (3 y) + πn : x = \frac{arctan ( 3 y )}{6} + \frac{πn}{6}

6 x = arctan (3 y) + πn

两边除以

6

6 x = arctan (3 y) + πn

两边除以

6

\frac{6 x}{6} = \frac{arctan ( 3 y )}{6} + \frac{πn}{6}

化简

x = \frac{arctan ( 3 y )}{6} + \frac{πn}{6}

x = \frac{arctan ( 3 y )}{6} + \frac{πn}{6}

x = \frac{arctan ( 3 y )}{6} + \frac{πn}{6}

作图

流行的例子

3 cos (x) = sec (x)

3csc(x)+5=csc(x)+9

3 csc (x) + 5 = csc (x) + 9

3 = tan^{2} (x)

tan(θ)csc(θ)+2tan(θ)=0

tan (θ) csc (θ) + 2 tan (θ) = 0

4 + 2 csc (\frac{θ}{2}) = 8