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if-sin4x-cos6x-0-find-x-




Question Number 200450 by hardmath last updated on 18/Nov/23
if   ((sin4x)/(cos6x)) = 0   find   x = ?
$${if}\:\:\:\frac{{sin}\mathrm{4}{x}}{{cos}\mathrm{6}{x}}\:=\:\mathrm{0}\:\:\:{find}\:\:\:{x}\:=\:? \\ $$
Answered by Frix last updated on 19/Nov/23
sin 4x =0∧cos 6x ≠0 ⇒ x=((nπ)/2)
$$\mathrm{sin}\:\mathrm{4}{x}\:=\mathrm{0}\wedge\mathrm{cos}\:\mathrm{6}{x}\:\neq\mathrm{0}\:\Rightarrow\:{x}=\frac{{n}\pi}{\mathrm{2}} \\ $$

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