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A ladder is leaning on a wall and the angle of inclination of alpha the ground... the ladder then slips off a bit and the new angle of inclination with the ground is beta. The distance by how much the ladder slips with respect to the ground is 'a' and the distance by which the ladder falls down a bit with respect to the wall is 'b'. Now, prove that tan [(alpha +beta)/2] = a/b

A ladder is leaning on a wall and the angle of inclination of alpha the ground... the ladder then slips off a bit and the new angle of inclination with the ground is beta. The distance by how much the ladder slips with respect to the ground is 'a' and the distance by which the ladder falls down a bit with respect to the wall is 'b'.


Now, prove that tan [(alpha +beta)/2] = a/b


 

Grade:11

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