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Evaluate \( \cos(\cos^{-1}(\frac{3}{5})) \).

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Question: Evaluate \\( \\cos(\\cos^{-1}(\\frac{3}{5})) \\).

Options:

  1. 0
  2. \\( \\frac{3}{5} \\)
  3. 1
  4. undefined

Correct Answer: \\( \\frac{3}{5} \\)

Solution: 

By definition, \\( \\cos(\\cos^{-1}(x)) = x \\). Therefore, \\( \\cos(\\cos^{-1}(\\frac{3}{5})) = \\frac{3}{5} \\).

Evaluate \( \cos(\cos^{-1}(\frac{3}{5})) \).

Practice Questions

Q1
Evaluate \( \cos(\cos^{-1}(\frac{3}{5})) \).
  1. 0
  2. \( \frac{3}{5} \)
  3. 1
  4. undefined

Questions & Step-by-Step Solutions

Evaluate \( \cos(\cos^{-1}(\frac{3}{5})) \).
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