Question

What is the domain of f(x)=cos(x)?

what is the y value of tan(x) when x=-180
the range of f(x)=sin(x)is−1≤y≤1


soo sorry about all the questions I really don't understand this section

Answer 1

`\text{Domain of f(x)=cosx is} (-\infty,+\infty)`

`tan(-180)=0`

Range of f(x)=sin(x) is−1≤y≤1

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,

`\text{Domain of f(x)=cosx is} (-\infty,+\infty)`

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

`tan(-180)=(sin(-180))/(cos(-180))=(0)/(-1)=0`

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

Answer 2

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.

I hope my answer has come to your help. God bless and have a nice day ahead!