1this is very trivival shall i post soln?
please post your methods so that we can have a good discussion
its not a difficult one
Prove that \frac{\sin ^{3}a}{sinb}+\frac{cos^{3}a}{cosb}\geq sec(a-b) for all 0< a,b <Ï€/2
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8 Answers
9b555 this is a very nice Q uve posted
ans is certainly not trivial as rohan seems to project it (but then all problems are easy for him :P , from the perspective of a rookie its not very easy)
39cele , answer is not my main motive, my aim mainly is to arise fruitful discussions which no one seems to be interested in :(
9simplifying gvn we get
1 + sin2acos2a[ tanacotb+cotatanb -2 ] ≥ 1
ie tanacotb+cotatanb≥ 2
which is true
as x+1/x ≥2