Match the following functions with it's correponding range.
A
[−5,5]
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B
[−1,1]
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C
[−6,6]
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D
[−2,2]
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Solution
For any real number k, if k≥0
Then, −k≤kcosx≤k
and if k<0
Then, −k≥kcosx≥k
Thus using this method, we can find the corresponding ranges of the given trigonometric functions as: cosx∈[−1,1] −2cosx∈[−2,2] 5cosx∈[−5,5] −6cosx∈[−6,6]