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What is the period of the function f(x)=cos10x

User Mikey G
by
8.2k points

2 Answers

7 votes

Answer:

period of the function is
(\pi )/(5)

Explanation:

The given function is f (x) = cos 10x

Since cosine function is represented by

f (x) = a cos b x

where a = amplitude of cosine function and period =
(2\pi )/(b)

Now we compare function given with the standard form of cosine function.

we find b = 10

then period =
(2\pi )/(b)

=
(2\pi )/(10)

=
(\pi )/(5)

Therefore, period of the function is
(\pi )/(5)

User Wurstbro
by
8.5k points
0 votes

Answer:


Period=(\pi)/(5)

Explanation:

we are given function as


f(x)=cos(10x)

now, we can use formula

If
f(x)=Acos(Bx+C)+D


Period=(2\pi)/(B)

now, we can compare and find B

we get

B=10

now, we can find period


Period=(2\pi)/(10)

so, we get


Period=(\pi)/(5)

User Khaly
by
8.5k points

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