ab056422
ab056422 ab056422
  • 14-08-2019
  • Mathematics
contestada

please help evaluate this and turn into a fraction

please help evaluate this and turn into a fraction class=

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sqdancefan
sqdancefan sqdancefan
  • 25-08-2019

Answer:

  The correct answer is marked.

Step-by-step explanation:

You are given the cosine of an angle, and asked to find the corresponding sine. The relation is ...

  sin(x)² = 1 - cos(x)²

  sin(x)² = 1 - (-4/√305)² = 1 - 16/305 = 289/305

  sin(x) = √(289/305) = 17/√305

__

The arccos function will return an angle in the first or second quadrant. This negative cosine corresponds to a 2nd-quadrant angle. The sine is positive in the second quadrant.

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