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

prabhav sidhaye , 14 Years ago
Grade 11
anser 1 Answers
Rathod Shankar AskiitiansExpert-IITB

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)

 

:)

Last Activity: 14 Years ago
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