How do you find the values of h8 if given h8 = 8 cos(8)?

To find the values of h8 when given the equation h8 = 8 cos(8), we can follow these steps:

  1. Understand the Equation: The equation tells us that h8 is equal to 8 times the cosine of 8. Here, we need to clarify that the ‘8’ inside the cosine function is in radians unless otherwise specified.
  2. Calculate Cosine of 8: We will first calculate the value of cos(8). You can use a scientific calculator or a programming language like Python:
  3. import math
    result = 8 * math.cos(8)
    
  4. Perform the Calculation: Using a calculator, we find that cos(8) ≈ -0.1455. Multiplying this value by 8 gives us:
  5. h8 = 8 * (-0.1455) ≈ -1.164
  6. Conclusion: Therefore, the value of h8 is approximately -1.164.

In summary, given the equation h8 = 8 cos(8), we find that h8 ≈ -1.164 by evaluating the cosine function and performing the multiplication.

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