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cot A = x/y
r^2 = x^2+ y^2
r^2 = 7^2 + 24^2
r^2 = 49+576
r^2 = 626
r = √625
r = 25
sec A + cosec A = 25/7+25/24
= 600/168 + 175/168
= 775/168