Question

100 Points! Algebra question. Photo attached. Find the exact value of the expression. Please show as much work as possible. Thank you!

Answer 1

• (√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.