Question
Work out \( 2.6 \cos 12^{\circ} \) rounded to 2 d.p.
Ask by King Vega. in the United Kingdom
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 2.6 \cos 12^{\circ} \) is approximately 2.19 when rounded to two decimal places.
Solution
Calculate or simplify the expression \( 2.6 \cos(12) \).
Calculate the value by following steps:
- step0: Calculate:
\(2.6\cos\left(12\right)\)
- step1: Simplify:
\(2.19402\)
The value of \(2.6 \cos 12^{\circ}\) rounded to 2 decimal places is 2.19.
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Simplify this solution The Deep Dive
To find \( 2.6 \cos 12^{\circ} \), we first calculate \( \cos 12^{\circ} \). Using a calculator, we find: \[ \cos 12^{\circ} \approx 0.9781 \] Now, we multiply this value by \( 2.6 \): \[ 2.6 \times 0.9781 \approx 2.544 \] Rounding \( 2.544 \) to two decimal places gives us: \[ \boxed{2.54} \]
