逆 f(x)=5csc((x+pi)/(2.1))-6.5

解

逆

f (x) = 5 csc (\frac{x + π}{2.1}) - 6.5

2.1 arccsc (\frac{x + 6.5}{5}) - π

解答ステップ

csc (\frac{x + π}{2.1})

を解く

y = 5 csc (\frac{x + π}{2.1}) - 6.5

csc (\frac{x + π}{2.1}) = \frac{y + 6.5}{5}

csc (a) = b \Rightarrow a = arccsc (b)

\frac{x + π}{2.1} = arccsc (\frac{y + 6.5}{5})

x

を解く

\frac{x + π}{2.1} = arccsc (\frac{y + 6.5}{5})

2.1 arccsc (\frac{y + 6.5}{5}) - π

代用

y = x

2.1 arccsc (\frac{x + 6.5}{5}) - π