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Solve:   sin3x + cosx = -sin5x

Mar 5, 2021

#1
+207
+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
+42
0

Thank you!! :)

Country03  Mar 6, 2021