Find the maximum and minimum value of cos 2 </msup> &#x2061;<!-- ⁡ --> x

deformere692qr

deformere692qr

Answered question

2022-04-10

Find the maximum and minimum value of cos 2 x 6 sin ( x ) cos ( x ) + 3 sin 2 x + 2

Answer & Explanation

Gillian Kelly

Gillian Kelly

Beginner2022-04-11Added 11 answers

The expression can be simplified to
cos 2 x + sin 2 x + 2 sin 2 x + 2 3 sin 2 x
= 3 3 sin 2 x + 2 1 cos 2 x 2
= 4 3 sin 2 x cos 2 x
Now we know that
a 2 + b 2 a sin α + b cos α a 2 + b 2
Hope you can take it from here.
lasquiyas5loaa

lasquiyas5loaa

Beginner2022-04-12Added 4 answers

cos 2 x 6 sin ( x ) cos ( x ) + 3 sin 2 x + 2
3 sin ( 2 x ) + 2 1 cos 2 x 2 + 3
3 sin ( 2 x ) cos ( 2 x ) + 4
now use
| a sin α + b cos α | a 2 + b 2

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