f(x) = cosx

y = cosx

Here in this range the lines cut the curve in many equal valued points of y therefore the function f(x) = cosx is not one - one.

⇒f(x) = many one

Range of f(x) = [ - 1,1]≠R(codomain)

∴f(x) is not onto.

⇒f(x) = into

Hence,f(x) = cosx is many one and into

Ans: (c) many - one and into