Question

Which of the following is the graph of f(x) = cos(x +x++)?

Answer 1

Explanation:

We have the following function:

`\: f\mleft(x\mright)\: =\: cos\mleft(x\: +(\pi)/(\:2)\mright)`

To know the value in 0, we replace:

`\: f\mleft(0\mright)\: =\: cos\mleft(0+(\pi)/(\:2)\mright)=\cos \mleft((\pi)/(\:2)\mright)=0`

Therefore, the possible options would be B and C, but the correct answer is C, since in the sine function the cosine value has been decreasing beforehand.