Respuesta :

For the first question the answer is (-infinity,+infinity)

The domain of the function f(X) = cos(X) is from negative infinity to positive infinity.

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Answer:

[tex]\text{Domain of f(x)=cosx is} (-\infty,+\infty)[/tex]

[tex]tan(-180)=0[/tex]

Range of f(x)=sin(x) is−1≤y≤1

Step-by-step explanation:

Given the function f(x)=cos(x)

we have to find the domain of function f(x)=cosx.

The domain of a function is the complete set of possible values of the independent variable. Here, cosx is defined at all the values of x therefore,

[tex]\text{Domain of f(x)=cosx is} (-\infty,+\infty)[/tex]

Now, we have to find the y value of tan(x) when x=-180

[tex]tan(-180)=\frac{sin(-180)}{cos(-180)}=\frac{0}{-1}=0[/tex]

The range of a function is the complete set of all the possible resulting values i.e all y-values.

Range of f(x)=sin(x) is−1≤y≤1

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