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受欢迎的三角函数 >

solvefor x,y=fcos(x)

解答

求解

x, y = f cos (x)

解答

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

求解步骤

y = f cos (x)

交换两边

f cos (x) = y

两边除以

f; f \neq = 0

f cos (x) = y

两边除以

f; f \neq = 0

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

化简

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

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

使用反三角函数性质

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

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

的通解

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

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

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

作图

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