andreaackerson9764 andreaackerson9764
  • 03-06-2018
  • Mathematics
contestada

Write the trigonometric expression as an algebraic expression in u. cos (sin-1 u)

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sqdancefan
sqdancefan sqdancefan
  • 10-06-2018
cos(arcsin(u)) = √(1 - u²)

_____
You want cos(α) where sin(α) = u.
You know that
  cos(α)² + sin(α)² = 1
  cos(α)² = 1 - sin(α)² = 1 - u²
  cos(α) = √(1 - u²)
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