no. of real roots.

$Q:$\Rightarrow$ Find no.of real roots of the Trigonometric equation\\ $sinx+2sin2x=3+sin3x$ in $x\epsilon[0,2\pi].$

4 Answers

11
Joydoot ghatak ·

the answer should be 0...

as right hand side can give a minimum of 3 if sin3x=0...
whereas the left side has a maximum of 3, if sinx=1 and sin2x=1.... as the sine of any angle can not exceed 1..

therefore, the above relation to hold true...
sinx = sin2x = sin3x =1 must also hold... which is never true...

62
Lokesh Verma ·

Thats right joydoot.. but can you prove that tool...

1708
man111 singh ·

71
Vivek @ Born this Way ·

Nice..
@man111
Phew!! It's a lot harder to do the same sum in latex. :P How do you manage!!

Your Answer

Close [X]