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THE MIN VALUE OF 2sinx+2cosx is?
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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