uclabrowneyes uclabrowneyes

26-06-2017
Mathematics

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Disprove sinx+sin5x=tan3x

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mathmate mathmate

26-06-2017

counter-example:
set x=π/6
LHS=sin(π/6)+sin(5π/6)=1/2+1/2=1
RHS=tan(3π/6)=tan(pi/2)=∞
since LHS≠RHS for the counter-example given, the statement
sinx+sin5x=tan3x
is false.

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