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Question

If 28 cosA+45 sinA=53 then 53 sinA=55.

A
True
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B
False
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Solution

The correct option is B False
28cosA+45sinA=53.......(i)
let
45cosA28sinA=x.........(ii)
squaringandadding(i)and(ii)
cos2A(282+452)+sin2A(452+282)=532+x2
(282+452)(cos2A+sin2A)=532+x2
2809=2809+x2
x2=0
x=0
pluggingin(ii)
45cosA28sinA=0
45cosA=28sinA
tanA=4528
sinA=4553
53sinA=45
HencegivenstatementisFalse

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