Mathematics

Mathematics

Problem

If aa and bb are real numbers such that −1<a<b<1-1 < a < b < 1, which of the following is always true? a) arcsin⁡a>arcsin⁡b\arcsin a > \arcsin b b) Impossible to decide, as arcsin⁡\arcsin is not monotonic on (−1,1)(-1,1) c) arcsin⁡a<arcsin⁡b\arcsin a < \arcsin b d) arcsin⁡∣a∣<arcsin⁡∣b∣\arcsin|a| < \arcsin|b|

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