# Solve Sin2X

https://math.stackexchange.com/questions/1970341/i-need-help-writing-the-expression-5-sin-2x-cos-2x-in-terms-of-sine-only
Given asin(u)+bcos(v), factor out whatever you need to lớn to make the coefficients of sin and cos have sum of squares equal to lớn 1. Then a sum of angles formula applies. In this case, 5sqrt2left(sin(2x)frac1sqrt2-frac1sqrt2cos(2x) ight) ...

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Hint: Our function is sqrt65left(frac1sqrt65sin 2x -frac8sqrt65cos 2x ight). Let b be an angle whose cosine is frac1sqrt65 và whose sine is frac8sqrt65 ...
displaystylex=frac3pi8+kpidisplaystylex=frac7pi8+kpi Explanation:sin 2x + cos 2x = 0Use trig identity:displaystylesina+cosa=sqrt2cosleft(a-fracpi4 ight) ...
2cos2x + 2sin2xExplanation:differentiate using displaystyle ext chain rule displaystylefracdleft.dx ight.left=f'left(gleft(x ight) ight).g'left(x ight) ...
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