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Solve the following expression

Ask by Lee Weber. in Iran
Dec 22,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

The value of is approximately -0.873305.

Solution

Calculate or simplify the expression .
Calculate the value by following steps:
  • step0: Calculate:

    The value of is approximately -0.873305.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Extra Insights

To solve for , you can use the half-angle formula:
In this case, let . Thus,
Since , we have:
So .
This angle has interesting historical significance; it’s often found in the study of regular polygons, particularly the regular octagon. By knowing the cosine of , you can also calculate various trigonometric properties, making it useful in fields ranging from architecture to computer graphics.
In practical applications, the cosine of appears frequently in wave mechanics, particularly when analyzing harmonic motion or alternating currents. It’s also a crucial angle in various architectural designs, where precise calculations of angles are needed for structural integrity, aesthetic appeal, or both.

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