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#1 2007-11-09 09:25:14

route51
Member
Registered: 2007-11-09
Posts: 2

Trigonometry Equation 1

Hello!

This is my first post here. My name is Andrew and I'm 16. When I was younger I used to be a decent at maths but ever since I started trigonometry I got disappointed of myself.  I'm having a test paper next Wednesday and my teacher gave me a list of 51 equations to solve. A lot of these are out of my reach. Here is one of them:

My approach here was to divide the expression by tg3x but that didn't get me anywhere.

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#2 2007-11-09 19:23:32

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,154

Re: Trigonometry Equation 1

route51 wrote:

Here is one of them:

My approach here was to divide the expression by tg3x but that didn't get me anywhere.

Hi Andrew,

The subject of the post is Trignometry euation1.
However, the equation you have given doesn't seem like one at all. It is not known what t and g and 2x and 3x denote. It appears to be an equation of degree 2 of three variables, t. g, and x. Unless it is known what g3x 3x and 2x stand for, that is whether 3 is merely a number or it is in someway related to the vairable x, I don't think it is possible to offer any help. Please be more specific in posting your doubt. Wherever there are substituions or when an alphabet represents something, please try to mention that alongwith the question.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3 2007-11-09 19:36:29

route51
Member
Registered: 2007-11-09
Posts: 2

Re: Trigonometry Equation 1

Oh, Sorry.

In my language tg is the substitution for tangent. So the equation would be

Sorry for the inconvenience.

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#4 2007-11-09 21:38:42

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Trigonometry Equation 1

Add tan(3x) to both sides.

So you just need to solve the simple equation tan(3x) = −3tan(x). big_smile

Last edited by JaneFairfax (2007-11-09 22:28:32)

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#5 2007-11-09 23:37:32

route51
Member
Registered: 2007-11-09
Posts: 2

Re: Trigonometry Equation 1

Thank you!

I finally managed to solve it big_smile. It also works if you add tan 2x smile

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