Use a calculator to evaluate each expression to the nearest tenth of a degree. \( \arcsin (0.4124)=\square \)
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Using a calculator, you would find that \( \arcsin(0.4124) \) roughly equals \( 24.4^\circ \) when rounded to the nearest tenth of a degree. This function finds the angle whose sine is 0.4124, allowing you to determine the corresponding angle in a right triangle. For anyone exploring trigonometric functions, the arcsine is just one of the inverse functions to be aware of. It's like peeling back the layers of a mathematical onion—each function revealing more secrets about angles and ratios! Remember, the domain of the arcsine function is limited to values between -1 and 1, ensuring you stay within a triangle's possible side ratios.