(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that the LHS can be changed into the RHS.

[tex] sec^6 x-tan^6x=1+3sec^2x tan^2x[/tex]

2. Relevant equations

Trig identities.

3. 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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Trig Identity stumped

**Physics Forums | Science Articles, Homework Help, Discussion**