- #1
happyg1
- 308
- 0
Homework Statement
Show that the LHS can be changed into the RHS.
[tex] sec^6 x-tan^6x=1+3sec^2x tan^2x[/tex]
Homework Equations
Trig identities.
The Attempt at a Solution
I tried factoring the LHS:
[tex](sec^2-tan^2)(sec^4+sec^2tan^2+tan^4)[/tex]
[tex]sec^2-tan^2=1[/tex] so that leaves me with the other thing in the parentheses. I have tried using the Pythagorean identities on sec^2 and tan^2, I have broken up the sec^4 into sec^2*sec^2...
I just am not getting anywhere.
Pointers would be nice.
CC