Question

sin(2x)÷cos(x)=0
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Answer 1

$sin(2x):cos(x)= \frac{sin(2x)}{cos(x)}= \frac{2sin(x)cos(x)}{cos(x)}=2sin(x)$

Answer 2

sin(2x)/cos(x)=0                                    ОДЗ: cos(x)≠0    x≠π/2+πn.
2*sin(x)*cos(x)/cos(x)=0
2*sin(x)=0  |÷2
sinx=0
x=πn.