Question

iousWhere are the zeros for f(x) = 1/2cos 2x - 1 on the interval [0, 2π]?A. noneOB. x =OC. I = 0, π, 2πOD. z = 0,,,3, 2πReset Selection3TNext

Answer 1

Given: A function

`f(x)=(1)/(2)\cos2x-1`

Required: Zeroes of the function in the interval [0,2π]

Step-by-step explanation:

For zero of the function f(x)

`\begin{gathered} f(x)=0 \\ (1)/(2)\cos2x-1=0 \end{gathered}`

Now,

`\begin{gathered} (1)/(2)\cos2x=1 \\ \cos2x=2 \end{gathered}`

Now, cos function alsways lies between [-1,1].

It is not equal to 2 in the interval [0,2π].

Hence, the zeroes does not exist in this interval.

Final Answer: The correct answer is option 1.