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If tan (x2 - 8x + 60°) = cot (6x - 5°) then value of x -

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tan (x2 - 8x + 60°) = cot (6x - 5°)

tan (x2 - 8x + 60°) = tan {90° - (6x - 5°)}

x2 - 8x + 60° = 90° - 6x + 5

x2 - 2x = 35

∴ x (x -2) = 7× 5

∴ x = 7