Answer:
Step-by-step explanation:
Given is a trignometric equation in x, as
[tex]sin2x+cosx=0[/tex]
TO make it in one trig ratio, we can replace sin2x as 2sinx cosx
WE get now
[tex]2sinxcosx+cosx=0\\[/tex]
[tex]cosx(2sinx+1)=0\\cosx=0, sinx =-0.5\\[/tex]
Principal solution is [tex]x=\frac{\pi}{2} , \frac{-\pi}{6}[/tex]
x = ±π/2 + 2kπ, where k is any integer or
x=±pi/6 +k pi, where k is any integer.
General solution is
