trig identity

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\[\huge \frac{ sinx-2sinx^3 }{ 2\cos^3x-cosx } = tanx \]
is this proving? or simplifying?
proving

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the left side is confusing me to the max
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The first step I factored out sinx and cosx The second step I used the double angle formula for cos2x
o.O you made it look so easy, how are you so good at these ?
Its all practice, I suggest you don't ask other people and actually spend at least 5 or 10 minutes trying to figure it out. You get better as you do more
i do try them all out before asking but i ALWAYS get stuck :S

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