Hey, new here and need some help with a homework question.

tan(x) + sec(2x) = 1

Ive tried 3 different substitutions/methods but I can't get to a solution. Thanks fo rthe help :D

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- May 16th 2011, 04:09 PMtrigzyoSolving Trigonometric Equation
Hey, new here and need some help with a homework question.

tan(x) + sec(2x) = 1

Ive tried 3 different substitutions/methods but I can't get to a solution. Thanks fo rthe help :D - May 16th 2011, 04:45 PMSudharaka
- May 16th 2011, 04:48 PMtrigzyo
thanks, I already knew the actual solutions because they are in the back of the book. I was looking for an algebraic solution to find the solutions. Thanks a bunch though!

- May 16th 2011, 08:37 PMSoroban
Hello, trigzyo!

Welcome aboard!

I solved it . . . but it took me a while.

Hope you can following my reasoning.

Quote:

I will assume: .

We have: .

Multiply the first fraction by

Then we have: .

Multiply by

. .

. .

We have two equations to solve . . .

. .

. .

- May 17th 2011, 01:20 AMSudharaka