Answered

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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

IousWhere Are The Zeros For Fx 12cos 2x 1 On The Interval 0 2πA NoneOB X OC I 0 Π 2πOD Z 03 2πReset Selection3TNext class=

Sagot :

Given: A function

[tex]f(x)=\frac{1}{2}\cos2x-1[/tex]

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

Explanation:

For zero of the function f(x)

[tex]\begin{gathered} f(x)=0 \\ \frac{1}{2}\cos2x-1=0 \end{gathered}[/tex]

Now,

[tex]\begin{gathered} \frac{1}{2}\cos2x=1 \\ \cos2x=2 \end{gathered}[/tex]

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.

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