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hartnn (hartnn):
show that \(\Large \dfrac{b-a}{\sqrt{1-a^2}} < sin^{-1}b - sin^{-1}a < \dfrac{b-a}{\sqrt{1-b^2}}\)
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hartnn (hartnn):
haven't tried it yet...there's some theorem on something similar to this...in limits ??
Miracrown (miracrown):
it may help here to take the sine of this inequality as our 1st step:
Miracrown (miracrown):
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