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

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- February 20th 2008, 02:04 AMgraceyTrig identities
1 / cos^4ф - 1 / cos^2ф = tan^4ф + tan^2ф

- February 20th 2008, 02:25 AMmr fantastic
- February 20th 2008, 02:36 AMmr fantastic
- March 6th 2008, 11:36 PMmrbuttersworth
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 - March 6th 2008, 11:37 PMmrbuttersworth
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?

- March 6th 2008, 11:59 PMmr fantastic