Question

If sec A= cosec A , then show that 2sin²A=1

Answer 1

sec A  =  Cosec A
=> 1/ Cos A  = 1/ Sin A
=>  Cos A = Sin A
we know
   Cos² A + Sin ² A = 1
   Sin² A + Sin² A = 1

hence the answer

Answer 2

sec A  =  Cosec A
⇒ 1/ Cos A  = 1/ Sin A
⇒  Cos A = Sin A
we know 
   Cos² A + Sin ² A = 1
   Sin² A + Sin² A = 1
SO 2sin²A=1   proved