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受欢迎的三角函数 >

solvefor x,f=cos(x)cos(hy)

解答

求解

x, f = cos (x) cos (h y)

解答

x = arccos (\frac{f}{cos ( h y )}) + 2 πn, x = - arccos (\frac{f}{cos ( h y )}) + 2 πn

求解步骤

f = cos (x) cos (h y)

交换两边

cos (x) cos (h y) = f

两边除以

cos (h y); cos (h y) \neq = 0

cos (x) cos (h y) = f

两边除以

cos (h y); cos (h y) \neq = 0

\frac{cos ( x ) cos ( h y )}{cos ( h y )} = \frac{f}{cos ( h y )}; cos (h y) \neq = 0

化简

cos (x) = \frac{f}{cos ( h y )}; cos (h y) \neq = 0

cos (x) = \frac{f}{cos ( h y )}; cos (h y) \neq = 0

使用反三角函数性质

cos (x) = \frac{f}{cos ( h y )}

cos (x) = \frac{f}{cos ( h y )}

的通解

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = - arccos (a) + 2 πn

x = arccos (\frac{f}{cos ( h y )}) + 2 πn, x = - arccos (\frac{f}{cos ( h y )}) + 2 πn

x = arccos (\frac{f}{cos ( h y )}) + 2 πn, x = - arccos (\frac{f}{cos ( h y )}) + 2 πn

作图

流行的例子

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tan (4 x) \cdot cot (x + 60) = 1

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