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Write the value of tan-1{2 sin(2 cos-1 \(\frac{\sqrt3}2\))}. |
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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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