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Verified Answer :

syed514

Subtract the 5cos(x)=>3sin(x)=-5cos(x)
Divide by -5cos(x)=> (-3/5)tan(x)=1
Multiply by -5/3=>tan(x)=-5/3=>x=arctan(-5/3)

HomertheGenius

3 sin x + 5 cos x = 0
3 sin x = - 5 cos x  /: cos x ( divide both sides by cos x )
3 sin x / cos x = - 5
3 tan x = - 5
tan x = -5/3
x = arc tan (-5/3)
x ≈ - 59.036°

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