5sin^2x-7sinxcosx+16cis^2x=4
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5sin2x–7sinxcosx+16cos2x−4=0
Divide by cos2x
5tan2x−7tanx+16–4(1+tan2x)=0
tan2x−7tanx+12=0
(tanx−4)(tanx−3)=0
tanx=3or4⟹
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