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Grade 11Differential Calculus

if sinxcosy{f(2x+2y)-f(2x-2y)}=sinycosx{f(2x+2y)+f(2x-2y)} then find relations between f(x) and f'(x)

Profile image of prabhav sidhaye
15 Years agoGrade 11
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1 Answer

Profile image of Rathod Shankar AskiitiansExpert-IITB
14 Years ago

simply use componendo-dividendo and get

f(2x+2y)  =  sin(x+y)

f(2x-2y)       sin(x-y)

 

hence your function is f(x) = sin(x/2)

 

:)