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Usimov [2.4K]
2 years ago
6

The range of the function y = 2cos x is -2 ≤ y ≤ 2.

Mathematics
1 answer:
Vadim26 [7]2 years ago
7 0

<u>Answer:</u>

The range of the function y = 2cos x is -2 <y < 2 .

<u>Step-by-step explanation:</u>

We know that cos (0) = 1 and cos (π) = - 1 are the two extreme values which cos x assume when x ∈ R and it is also that cos (x) is a continuous periodic function with period 2π when x ∈ R ,

since ,

cos (x + 2π) = cos x

So, the range of the  function y = 2cos x is -2 <y < 2 .

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