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Trigonometry Equation

by Dragonetti
Tags: maths, trigonometry
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Dragonetti
#1
Mar16-11, 10:46 AM
P: 15
1. The problem statement, all variables and given/known data

Hi,
This isn't a homework question, I am having a bit of trouble with some Trig equations. If you are worried that you are answering a homework question please give me the solution to a similar question.

2. Relevant equations

When we have a trig equation like sec2X + tan2X = 6.

I know that sec is equal to 1/cos, and tan is equal to sin/cos, but what do I do with the square? Do I square all the terms or just the denominator?

3. The attempt at a solution

I have tried many times, to many to list here!

Thanks for your help
Dominic
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jhae2.718
#2
Mar16-11, 10:47 AM
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jhae2.718's Avatar
P: 1,153
Hint: is there a Pythagorean identity that relates secant and tangent?
tiny-tim
#3
Mar16-11, 12:51 PM
Sci Advisor
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Thanks
tiny-tim's Avatar
P: 26,157
Hi Dominic!
Quote Quote by Dragonetti View Post
When we have a trig equation like sec2X + tan2X = 6.

I know that sec is equal to 1/cos, and tan is equal to sin/cos, but what do I do with the square? Do I square all the terms or just the denominator?
The whole thing

tan2x = sin2x/cos2x
(and you can also use one of the standard trigonometric identities

sec2x = tan2x + 1, same as 1/cos2x = sin2x/cos2x + cos2x/cos2x )


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