Show that sin(2x) = 2 sin(x) cos(x) using Taylor series.
1st: Start with sin(2x), write the closed form for this Taylorseries near zero, then write out the first 4 non-zero terms.
2nd: Take the product of the Taylor series near zero of sin(x)& cos (x), write out the first 4 non-zero terms of thisproduct, then multiply by 2.
Once you have both of those steps completed show that they areequal by comparing the results. You must simplify the coefficientsof each term to show that they are equal, keep each term’scoefficient as an integer or a fraction (no decimals). In thisinstance you only need
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