Verify the Trigonometric Identity (sec(theta) - 1)(sec(theta) + 1) = tan^2(theta)

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Verify the Trigonometric Identity (sec(theta) - 1)(sec(theta) + 1) = tan^2(theta)

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currently taking precalc. loving these trig verifications, thanks so much!

PersonHerson

Hi Professor Wizard. Yeah, I saw that right away so I supposed the trick was REALLY to go a step deeper and prove the IDENTITY of that that IDENTITY, to prove that the usual GO TO is valid. So when I was at the the SECx ^2 -1 step I transformed it to 1/COSx ^2 - 1 and then from there I used COSx ^2 as the LCD (lowest common denominator) and that gave me ( 1-COSx ^2 ) / COSx ^2. Well, 1-COS ^2 is itself an IDENTITY and it is equal to SIN ^2. THAT gives us SIN^2 / COS ^2 and THAT is TAN ^2. That takes it all the way back to BASICS which is SIN and COS which shows we aren't fooling ourselves with scholastic assumptions.

Oh, when I was home schooling and I got to TRIG and met up with identifies, well, they kicked my butt and at the time I thought that at College they would really really really expect you to know all that (In Trig Class it was two days and to questions on the test). But I though it was important and bought another book and went back and did the chapters twice or three times. So I got pretty good at.

leovolont

my girlfriends name brought me here somehow. love the content

killerofsouls

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