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What is the range of f(x)= 3|sinx|-2|cosx| ? What is the step to solve it?

What is the range of f(x)= 3|sinx|-2|cosx| ? What is the step to solve it?

Grade:

1 Answers

Arun
25763 Points
3 years ago
Dear Sunil
 
Since |.| mod operator is used maximum and minimum values of both sine and cosine are 1 and 0.
But we know that when sine is max, cosine is min which is justified by 
sin^2(x) + cos^2(x) = 1
So answer to your question is [-2, 3]
 
Regards
Arun (askIITians forum expert)

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