What will be the minimum value of this

parksinta8rkv

parksinta8rkv

Answered question

2022-03-24

What will be the minimum value of this trigonometric function?
5sin2x12sinxcosx+10cos2x
My doubt is that as this can be written as (2sinx3cosx)2+1 and minimum value of 2sinx3cosx is -13, so will the minimum value be 14, same as maximum value?

Answer & Explanation

Jermaine Lam

Jermaine Lam

Beginner2022-03-25Added 11 answers

HINT you are minimizing f(x)=g(x)2+1 and the minimum of f will occur in the same place as the minimum of g2. Clearly g(x)20 so if you can set g(x)=0 you will get the minimum you seek.

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