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A train travelling on one of two interse...

A train travelling on one of two intersecting railway lines, subtends at a certain station on the other line, an/ angle `alpha` when the front of the carriage reaches the junction and an angle `beta` when the end of the carriage reaches it. Then, the two lines are inclined to each other at an angle theta, show that `2 cot theta=cot alpha-cot beta cot alpha + cot beta`

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