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Range of the function f(x) = cos (K sinx) is (-1,1), then the positive integral value of K can be ______.

Range of the function f(x) = cos (K sinx) is (-1,1), then the positive integral value of K can be ______.

Grade:11

1 Answers

Aditya Gupta
2081 Points
5 years ago
Obviously ksinx lies in between-k and k. 
Therefore cosine of ksinx lies in between cosk and cos0= 1. So we want cos k to be -1. So k is pi. But k is integral. So one of the possible values of k is 4.

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