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Inverse Trigonometric Functions question

2024 · 31 Jan · Shift 1 · Q32
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Inverse Trigonometric Functions question

2024 · 31 Jan · Shift 1 · Q32

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
For α,β,γeq0\alpha, \beta, \gamma eq 0α,β,γeq0, if sin⁡−1α+sin⁡−1β+sin⁡−1γ=π\sin ^{-1} \alpha+\sin ^{-1} \beta+\sin ^{-1} \gamma=\pisin−1α+sin−1β+sin−1γ=π and (α+β+γ)(α−γ+β)=3αβ(\alpha+\beta+\gamma)(\alpha-\gamma+\beta)=3 \alpha \beta(α+β+γ)(α−γ+β)=3αβ, then γ\gammaγ equals
  1. A
    3\sqrt{3}3​
  2. B
    32\frac{\sqrt{3}}{2}23​​
  3. C
    12\frac{1}{\sqrt{2}}2​1​
  4. D
    3−122\frac{\sqrt{3}-1}{2 \sqrt{2}}22​3​−1​
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