Question
Use a calculator to approximate \( \cos (-2.8229) \). \( \cos (-2.8229) \approx \square \) (Round to four decimal places as needed.)
Ask by Bird Curry. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( \cos(-2.8229) \approx -0.9496 \)
Solution
Calculate or simplify the expression \( \cos(-2.8229) \).
Calculate the value by following steps:
- step0: Calculate:
\(\cos\left(-2.8229\right)\)
- step1: Rewrite the expression:
\(\cos\left(2.8229\right)\)
The approximate value of \( \cos(-2.8229) \) is approximately -0.9496 when rounded to four decimal places.
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Simplify this solution Bonus Knowledge
To find \( \cos(-2.8229) \), you can input that value directly into your calculator. The cosine function is even, which means \( \cos(-x) = \cos(x) \). Therefore, \( \cos(-2.8229) = \cos(2.8229) \). Using a calculator, we find: \( \cos(-2.8229) \approx -0.9434 \). So rounding to four decimal places gives us: \( \cos (-2.8229) \approx -0.9434 \).
