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受欢迎的三角函数 >

solvefor w,y=arctan(1+4w)

解答

求解

w, y = arctan (1 + 4 w)

解答

w = \frac{tan ( y )}{4} - \frac{1}{4}

求解步骤

y = arctan (1 + 4 w)

交换两边

arctan (1 + 4 w) = y

使用反三角函数性质

arctan (1 + 4 w) = y

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

1 + 4 w = tan (y)

1 + 4 w = tan (y)

解

1 + 4 w = tan (y) : w = \frac{tan ( y )}{4} - \frac{1}{4}

1 + 4 w = tan (y)

将

1

到右边

1 + 4 w = tan (y)

两边减去

1

1 + 4 w - 1 = tan (y) - 1

化简

4 w = tan (y) - 1

4 w = tan (y) - 1

两边除以

4

4 w = tan (y) - 1

两边除以

4

\frac{4 w}{4} = \frac{tan ( y )}{4} - \frac{1}{4}

化简

w = \frac{tan ( y )}{4} - \frac{1}{4}

w = \frac{tan ( y )}{4} - \frac{1}{4}

w = \frac{tan ( y )}{4} - \frac{1}{4}

作图

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