1 / cos^4ф - 1 / cos^2ф = tan^4ф + tan^2ф

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- Feb 20th 2008, 03:04 AMgraceyTrig identities
1 / cos^4ф - 1 / cos^2ф = tan^4ф + tan^2ф

- Feb 20th 2008, 03:25 AMmr fantastic
- Feb 20th 2008, 03:36 AMmr fantastic
- Mar 7th 2008, 12:36 AMmrbuttersworth
I did this one differently. I went like...

left side

step one multiply by and then add because we've achieved a common denominator.

Then using the pythagorean identity, we can change into

Right side

convert the tan's into their proper sin and cosine values.

multiply by and add because we've achieved a common denominator.

factor out a

use the pythagorean identity to turn into 1

finally we end up with

L=R - Mar 7th 2008, 12:37 AMmrbuttersworth
Also, I would like to know how to write equations neater and more aesthetically pleasing than the method i'm using now. How do you guys do it?

- Mar 7th 2008, 12:59 AMmr fantastic