SOLUTION: I need help with verifying this trig identity. The problem is sec^4x-tan^4x / sec^2+ tan^2x = sec^2x +tan^2x. I'm having a really hard time with the left side,but on the right

Algebra ->  Trigonometry-basics -> SOLUTION: I need help with verifying this trig identity. The problem is sec^4x-tan^4x / sec^2+ tan^2x = sec^2x +tan^2x. I'm having a really hard time with the left side,but on the right      Log On


   

Question 679329: I need help with verifying this trig identity. The problem is sec^4x-tan^4x / sec^2+ tan^2x = sec^2x +tan^2x.

I'm having a really hard time with the left side,but on the right side I changed it to 1/ cos^2x + sin^2x/ cos^2x then to 1+sin^2x/ cos^2x.
Help!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


A little challenging, but once you see the trick...

Working with the LHS only:















which is the same as your right side.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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