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Solve:   sin3x + cosx = -sin5x

 Mar 5, 2021
 #1
avatar+208 
+2

here are the solutions for \(x \)

 

\(x= \frac{\pi}{2}+2\pi n, x=\frac{3\pi}{2}+2\pi n, x=\frac{7\pi}{24}+\frac{\pi n}{2}, x=\frac{11\pi}{24}+\frac{\pi n}{2}\)

 

where \(n\) is any positive integer

 

found by moving \(-5sin(5x)\) over and letting it equal \(0\). After some moving around and trig identities, you just solve for each part seperately.

 

Hope this helps :)

 Mar 6, 2021
 #2
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0

Thank you!! :)

Country03  Mar 6, 2021

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