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| 1. |
Write the value of sin {\(\frac{\pi}3\) - sin-1(\(-\frac 12\))}. |
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Answer» Given sin (π/3 – sin-1 (-1/2)) We know that sin-1 (-θ) = -sin-1 θ = sin (π/3 + sin-1 (1/2) 0) = sin (π/3 + π/6) = sin (π/2) = 1 ∴ sin (π/3 – sin-1 (-1/2)) = 1 |
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