If sin⁻¹α + sin⁻¹β + sin⁻¹γ = π and a...| JEE Main 2024

JEE MAIN 2024

31-01-2024 S1

Question

For $\alpha, \beta, \gamma \neq 0$. If $\sin ^{-1} \alpha+\sin ^{-1} \beta+\sin ^{-1} \gamma=\pi$ and $(\alpha+\beta+\gamma)(\alpha-\gamma+\beta)=3 \alpha \beta$, then $\gamma$ equal to

Select the correct option:

$\frac{\sqrt{3}}{2}$

1/√2

$\frac{\sqrt{3}-1}{2 \sqrt{2}}$

√3

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

Start Preparing for JEE with Competishun

Report Issue