Trigonometry - Compound and Double-Angle Identities

Trigonometry - Compound and Double-Angle Identities

Given that \( \sin{x} = \frac{1}{3}\), where \(x\) is an acute angle, find the exact value of

  1. \(\cos{x}\)
  2. \( \cos{2x}\)

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Answer:(a) \(\dfrac{2\sqrt2}3\) (b) \(\dfrac79\)

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