If \( \alpha \) satisfies the inequation \( x^{2}-x-20 \) then a value exists for (a) \( \sin ^{...

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If \( \alpha \) satisfies the inequation \( x^{2}-x-20 \) then a value exists for
(a) \( \sin ^{-1} \alpha \)
(b) \( \sec ^{-1} \alpha \)
(c) \( \cos ^{-1} \alpha \)
(d) none of these
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