Mathematics: Tan(-x)csc(-x)/sec(-x)cot(-x) simplify the expression

Tan(-x)csc(-x)/sec(-x)cot(-x) simplify the expression

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jetblackcap

12.03.2022

$\bf \cfrac{tan(-x)csc(-x)}{sec(-x)cot(-x)}\implies \cfrac{\quad \frac{sin(-x)}{cos(-x)}\cdot \frac{1}{sin(-x)}\quad }{\frac{1}{cos(-x)}\cdot \frac{cos(-x)}{sin(-x)}}\implies \cfrac{\quad \frac{1}{cos(-x)}\quad }{\frac{1}{sin(-x)}} \\\\\\ \cfrac{1}{cos(-x)}\cdot \cfrac{sin(-x)}{1}\implies \cfrac{sin(-x)}{cos(-x)}\implies \cfrac{\stackrel{\stackrel{symmetry}{identities}}{-sin(x)}}{cos(x)}\implies -tan(x)$

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bbostter3578

30.05.2023

Mathematics

100% that the answer is C thanks very much

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Tan(-x)csc(-x)/sec(-x)cot(-x) simplify the expression

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