2) Find the approximate radian value of \( \sin ^{-1}(0.637) \) to two decimal places. a) 0.69 b) 0.96 c) \( 0 . .69 \) d) \( 0-.96 \)

The approximate radian value of \( \sin^{-1}(0.637) \) is roughly 0.69 when calculated using a calculator or a table of values. This is because the inverse sine function, \( \sin^{-1} \), gives you the angle whose sine is the given value, and for 0.637, it falls in the range of 0 to \(\frac{\pi}{2}\) radians, which is around 1.57 radians. When specifying the answer, always make sure to check the provided options for formatting errors. In your choices, it seems there are errors in option c and d, which might confuse you. Stick with option a) 0.69; it’s the clear winner here!