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Is $arcsin$\arcsin(1/4) / \pi$ irrational?

Is $arcsin(1/4) / \pi$$\arcsin(1/4) / \pi$ rational? An approximation given by a calculator seem to suggest that it isn't, but I found no proof. Thanks in advance!

Is $arcsin(1/4) / \pi$ irrational?

Is $arcsin(1/4) / \pi$ rational? An approximation given by a calculator seem to suggest that it isn't, but I found no proof. Thanks in advance!

Is $\arcsin(1/4) / \pi$ irrational?

Is $\arcsin(1/4) / \pi$ rational? An approximation given by a calculator seem to suggest that it isn't, but I found no proof. Thanks in advance!

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Is $arcsin(1/4) / \pi$ irrational?

Is $arcsin(1/4) / \pi$ rational? An approximation given by a calculator seem to suggest that it isn't, but I found no proof. Thanks in advance!