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THE MIN VALUE OF 2 sinx +2 cosx is?

THE MIN VALUE OF 2sinx+2cosx is?

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear vardaan

2sinx+2cosx 

use AM ≥GM

 (2sinx+2cosx )/2 (2sinx2cosx )1/2

(2sinx+2cosx ) 2(2sinx+cosx)1/2

(2sinx+2cosx ) 2*2(sinx+cosx)/2

(2sinx+2cosx ) 2*2sin(x+45)/√2

(2sinx+2cosx ) 2*2-1/√2

2sinx+2cosx  21 -1/√2

 

   
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