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Question

In the given figure, BCAC = 2425 .
Find the value of cosec2A – cot2A 


  1. 0
  2. Undefined
  3. 1
  4. 2


Solution

The correct option is C 1

cosec A =  = ACBC2524  

Using Pythagoras theorem , we have AC2=AB2+BC2 

Let BC be 24x and AC be 25x

                      (25x)2=AB2+(24x)2

                        AB2=625 x2576 x2

                                       = 49 x2

                        AB=7x 

cot A = ABBC

cot A = 7x24x
cot A = 724


cosec2A – cot2A = 1

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