SOLUTION: verify the idenity sec^2x – csc^2x = (tan x – cot x)/(sinx*cosx)

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Question 433558: verify the idenity
sec^2x – csc^2x = (tan x – cot x)/(sinx*cosx)
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

Work with the right side:

Sec%5E2x+-+Csc%5E2x+=+%28Tan%28x%29+-+Cot%28x%29%29%2F%28Sin%28x%29Cos%28x%29%29



On the right side Multiply top and bottom by red%28Sin%28x%29Cos%28x%29%29





Sec%5E2x+-+Csc%5E2x+=+%28Sin%5E2x+-+Cos%5E2x%29%2F%28Sin%5E2x%2ACos%5E2x%29

Make two fractions on the right:







Sec%5E2x+-+Csc%5E2x+=+1%2F%28Cos%5E2x%29+-+1%2F%28Sin%5E2x%29


Sec%5E2x+-+Csc%5E2x+=+%281%2FCos%28x%29%29%5E2+-+%281%2FSin%28x%29%29%5E2


Sec%5E2x+-+Csc%5E2x+=Sec%5E2x+-+Csc%5E2x

Edwin