Answer :

mhanifa

Answer:

  • (√6 + √2)/4

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The cosine function has a period of 360°, we can subtract 360° from 375° to find the co-terminal angle:

  • 375° - 360° = 15°

Now, we can find the exact value of cos(15°) using the angle addition formula for cosine:

  • cos(15°) = cos(45° - 30°) = cos(45°)cos(30°) + sin(45°)sin(30°) =
  • (√2 / 2)(√3 / 2) + (√2 / 2)(1 / 2) =
  • √6 / 4 + √2 / 4

The exact value of cos(375°) is (√6 + √2) / 4.

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