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MathNet 2021 — Part 08 Question 65

Math Olympiad Vault · MathNet 2021 — Part 08

Question 65

Which expression is equivalent to
$$
\frac{\sin^2x-\cos^2x}{\sin^{-1}x+\cos^{-1}x}\cdot\frac{\tan x}{\cos x-\sin x}\,?
$$
  1. $-\cos x$
  2. $-\sin x$
  3. $-\sin^2x$
  4. $-\cos^2x$
  5. $\cos x$