How do you simplify ${cot}^{2} x - {csc}^{2} x$ $cot^2 x - csc^2 x$ ?

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How do you simplify ${cot}^{2} x - {csc}^{2} x$ $cot^2 x - csc^2 x$ ?

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Answer 1 · 2015-08-05T00:18:42

Simplify: ${cot}^{2} x - {csc}^{2} x$ $cot^2x - csc^2 x$

Ans: -1

Explanation:

$f (x) = \frac{{cos}^{2} x}{{sin}^{2} x} - \frac{1}{{sin}^{2} x} = \frac{{cos}^{2} x - 1}{{sin}^{2} x}$ $f(x) = cos^2 x/sin^2 x - 1/sin^2 x = (cos^2 x - 1)/sin^2 x$ =

$= - \frac{{sin}^{2} x}{{sin}^{2} x} = - 1$ $= -sin^2 x/sin^2 x = - 1$

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How do you simplify ${cot}^{2} x - {csc}^{2} x$ $cot^2 x - csc^2 x$ ?

1 Answer

Explanation:

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How do you simplify ${cot}^{2} x - {csc}^{2} x$ $cot^2 x - csc^2 x$ ?