sin A =5/4 cosecA/1+Cot
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☆ Given :
Sin A = 5/4
☆ To find :
Cosec A / 1 + Cot A = ?
☆ Solution :
sin range = [ -1 , 1 ]
Sin A = 5 /4 ----> which is not in the range.
Hence Sin A is not possible !!!
The correct question is Sin A = 4/5
Then by pythagoras theorem ,
we found that cosec A = 1 / sin A = 5 /4
cot A = Adj / opp = 3 / 4
By substituting The answer is 5/7
Refer the attachment !
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