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romanna [79]
4 years ago
7

Which formula gives the x-coordinates of the maximum values for y = cos(x)?

Mathematics
1 answer:
solong [7]4 years ago
7 0

We have been given a function y=\cos(x). We are asked to find the formula which gives the x-coordinates of the maximum values for given function.

We know that cosine function oscillates between -1 and 1 that is minimum value of cosine is -1 and maximum value is 1.

We also know that \cos(0)=1 and after period of cosine is 2\pi. This means after every 2\pi, we will get to 1.

So maximum of cosine is 2\pi n, where n is an integer.

Therefore, our required formula is 2\pi n, where, n=0,\pm 1,\pm 2,\pm3,...

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