Question 198052
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \tan^2(x)(\csc^2(x))\ =\  \left(\frac{\sin^2(x)}{\cos^2(x)}\right)\left(\frac{1}{\sin^2(x)}-1\right)\ =\ \left(\frac{\sin^2(x)}{\cos^2(x)}\right)\left(\frac{1 - \sin^2(x)}{\sin^2(x)}\right)\ =\ \left(\frac{\sin^2(x)}{\cos^2(x)}\right)\left(\frac{\cos^2(x)}{\sin^2(x)}\right) \ =\ 1]


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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sin(x)\cos^2(x) - \sin(x)\ =\  \sin(x)\left(\cos^2(x) - 1\right)\ =\ \sin(x)\left(-sin^2(x)\right)\ =\ -\sin^3(x)]

John
*[tex \LARGE e^{i\pi} + 1 = 0]
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