cos^2 x csc^2 x + cos^2 x sec^2 x =csc^2 x
determine whether the equation is an identity, if it is, prove it..

Question

cos^2 x csc^2 x + cos^2 x sec^2 x =csc^2 x
determine whether the equation is an identity, if it is, prove it..

twopointinfinity · Answer

oh my.. @mathmale 
Do you know trig?

mathmale · Answer

Yes.  However, I've been on the Internet most of the morning and need to get off.  Hope you can find someone else to guide you along the way towards proving this identity.  Good luck!

anonymous · Answer

Left side of the equation:
cos^2 x(1/sin^2 x) + cos^2 x*(1/cos^2 x) = cos^2 x/sin^2 x + 1 =
cos^2 x /sin^2x + sin^2 x/sin^2 x = (cos ^2 x + sin^2 x)/sin^2 x = 
1/sin^2 x = csc^2 x.
It is an identity.