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abcdefg111

Let f:[-1,1]-> [0,兀], f(x) =arc cosx and g: R->R, g(x)=f(cosx)
a) show左g(x) is even and periodic
b)Find g(x) for all x belongs to[0,兀]
hence, sketch the graph of g(x) for all x belongs to [-2兀,2兀]

我想問咩係arc cos(x)?同埋b)點做 thx!

Naozumi

arc cosx 即係俾個數 x, 搵番一個角 y pi<= y <=0),令到 cos y = x

所以當 0 <= x <= pi
g(x) = arc cos (cos x)) = x