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Find the Exact Value cos(-1.9967)

Problem

cos(−1.9967)

Solution

  1. Identify the input value as an angle in radians.

  2. Apply the even-odd identity for the cosine function, which states that cos(−θ)=cos(θ)

  3. Substitute the value into the identity to simplify the expression.

  4. Calculate the numerical value using a calculator, as −1.9967 is not a standard angle.

  5. Round the result to a standard number of decimal places (typically four) for the final representation.

Final Answer

cos(−1.9967)=−0.4121


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