Please can you help?

sin(x+45) + sin(s-45)=sqrt(2)

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- May 29th 2008, 06:20 AMsad_studentTrig equation
Please can you help?

sin(x+45) + sin(s-45)=sqrt(2) - May 29th 2008, 06:25 AMTheEmptySet
try using the sum and difference identities for sine

$\displaystyle \sin(x+y)=\sin(x)\cos(y)+\sin(y)\cos(x)$

$\displaystyle \sin(x-y)=\sin(x)\cos(y)-\sin(y)\cos(x)$

This gives

$\displaystyle

\sin(x)\cos(45)+\sin(45)\cos(x)+\sin(x)\cos(45)-\sin(45)\cos(x)=\sqrt{2}

$

Can you finish from here?

Good luck - May 29th 2008, 06:31 AMsad_student
Thanks very much, yes I can do it now