Use your calculator to find \( \cos ^{-1}(0.76) \) to the nearest degree. \( 41^{\circ} \) \( 47^{\circ} \) \( 49^{\circ} \) \( 43^{\circ} \)
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To find \( \cos^{-1}(0.76) \), inputting this into a calculator (make sure it’s set to degrees) will yield approximately \( 41^{\circ} \). It’s important to remember that the range of the arc cosine function is from \( 0^{\circ} \) to \( 180^{\circ} \), so you won't find any other angle giving the same cosine value in this specific context. When using your calculator, ensure you're in the correct mode—degrees versus radians—so you don’t end up with a confusing answer! If you're ever unsure, double-check the settings before diving in with those pesky trigonometric functions!