Find the range of A if \(\displaystyle{A}={{\sin}^{{{20}}}{x}}+{{\cos}^{{{48}}}{x}}\)

Yaritza Estrada

Yaritza Estrada

Answered question


Find the range of A if A=sin20x+cos48x

Answer & Explanation

Austin Sherman

Austin Sherman

Beginner2022-04-08Added 12 answers

If 0a1 then , so we use that repetadly
So Amax=1 and it is achieved at x=0.
For a minimum I don't see quick solution. I would try like this: Let t=cos2x and then search for the minumum of
where 0t1

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