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Write the value of\(tan^{-1}\{2sin(2cos^{-1}\frac{\sqrt{3}}{2})\}\) |
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Answer» Given tan-1 {2 sin (2 cos-1 √3/2)} = tan-1 {2 sin (2 cos-1 cos π/6)} = tan-1 {2 sin (2 × π/6)} = tan-1 {2 sin (π/3)} = tan-1 {2 × √3/2} = tan-1 {√3} = π/3 ∴ tan-1 {2 sin (2 cos-1 √3/2)} = π/3 |
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