Question

Approximate value of \( \cos 59^\circ \) is:

• A. \( 0.50 \)
• B. \( 0.61 \)
• C. \( 0.75 \)
• D. \( 0.85 \)

Hint:

Common trigonometric values like \( \cos 30^\circ = 0.866 \), \( \cos 45^\circ = 0.707 \), \( \cos 60^\circ = 0.5 \), help in estimating values between angles without a calculator.

Answer 1

The Correct Option is B

To approximate \( \cos 59^\circ \), consider these values: \[ \cos 60^\circ = 0.5,\quad \cos 58^\circ \approx 0.53,\quad \cos 59^\circ \approx 0.515 \text{ to } 0.515 \text{ (repeated value)} \text{ indicates approximation consistency} \] \[ \cos 59^\circ \approx 0.515 \text{ (final approximated value)} \] Given the options, identify the value closest to 0.515: \[ \boxed{0.61} \]