# State whether it is many one or onto function or into or onto function f(x)=cos x

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Hey!!!

Here is yoir answer___________

We have f : R → R,

f(x) = cos x

Let f(x1) = f(x2)

⇒ cos x1 = cos x2

⇒ x1 = 2nπ ± x2, n∈Z

Above equation has infinite solutions for x1 and x2.

Thus f(x) is many one function.

_________________________

Hope this answer will help u...

Here is yoir answer___________

We have f : R → R,

f(x) = cos x

Let f(x1) = f(x2)

⇒ cos x1 = cos x2

⇒ x1 = 2nπ ± x2, n∈Z

Above equation has infinite solutions for x1 and x2.

Thus f(x) is many one function.

_________________________

Hope this answer will help u...

royaleagle73:
the function is MANY-ONE INTO function

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