Hi. Evaluate the general solution of following trigonometric equations. sin(3x-pi/4)+cos(x+pi/3)=0
coyazayo Member Joined Oct 20, 2014 Messages 58 Gender Male HSC 2018 Jul 10, 2016 #1 Hi. Evaluate the general solution of following trigonometric equations. sin(3x-pi/4)+cos(x+pi/3)=0
leehuan Well-Known Member Joined May 31, 2014 Messages 5,805 Gender Male HSC 2015 Jul 10, 2016 #2 Um, what. I would use sum to product like follows but if this was a 3U question it's seriously pushing it. Which would then become this I think or Last edited: Jul 10, 2016
Um, what. I would use sum to product like follows but if this was a 3U question it's seriously pushing it. Which would then become this I think or
I InteGrand Well-Known Member Joined Dec 11, 2014 Messages 6,109 Gender Male HSC N/A Jul 10, 2016 #3 HSC would probably first ask you to show the sum to product identity.
+\cos \left(x+\frac{\pi}{3}\right)&=0\\ \sin \left(3x-\frac{\pi}{4}\right) + \sin\left(\frac{\pi}{6}-x\right) &=0 \\2\sin \left( \frac { 2x-\frac { \pi }{ 12 } }{ 2 } \right) \cos \left( \frac { 4x-\frac { 5\pi }{ 12 } }{ 2 } \right) &=0\end{align*})
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