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

Yaritza Estrada

Yaritza Estrada

Answered question

2022-04-07

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
A=sin20x+cos48xsin2x+cos2x=1
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
g(t)=(1t)10+t24
where 0t1

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?