Question

Verify:
Csc^2xtan^2x-1=tan^2x

Answer 1

notice that :
csc^2 x = 1/sin^2 x
tan^2 x = sin^2 x/cos^2 x
you can start by using the identities above

Answer 2

so, the left side can be
Csc^2xtan^2x-1 = 1/sin^2 x * sin^2 x/cos^2 x
cancel the sin^2 x we get
Csc^2xtan^2x-1 = 1/cos^2 x

and remember the identities bellow :
1/cos^2 x = sec^2 x and
sec^2 - 1 = tan^2 x

therefore,
Csc^2xtan^2x-1 = sec^2 x - 1 = tan^2 x = RHS

Answer 3

Ah okay thank you very much! (:

Answer 4

wlcm ;)