Question

If cosec A + sin A =26/5 find cosec square A + sin square A

Answer 1

cosec square A + sin square A
=(cosec A + sin A)^2 - 2Cosec A Sin A
=(26÷5)^2 - 2
=(676÷25)-2
=626÷25

Answer 2

cosec A + sin A = 26/5 

Square on both sides,

(cosec A + sin A)^2 = (26/5)^2

cosec^2 A + sin^2 A + 2(cosec × sin) = 676/25 

cosec^2 A + sin^2 A + 2(1) = 676/25 

cosec^2 A + sin^2 A + 2 = 676/25 

cosec^2 A + sin^2 A = 676/25 - 2 

cosec^2 A + sin^2 A = (676 - 50)/25 

cosec^2 A + sin^2 A = 626/25 




i hope this will help you


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