Trigonometry help

[MathsHelpPlz]

"The angle A is such that secA + tanA = 2. Show that secA - tanA = (1/2)"
I know all the identities, but I have no idea how to know what to do to solve this question. Also I was wondering if there is a way to know how to start/what to look for? Thanks for your time.

*How to approach these type of questions?

 

[Deleted member 4993]

"The angle A is such that secA + tanA = 2. Show that secA - tanA = (1/2)"
I know all the identities, but I have no idea how to know what to do to solve this question. Also I was wondering if there is a way to know how to start/what to look for? Thanks for your time.

*How to approach these type of questions?

Evaluate:

sec²(Θ) - tan²(Θ) = ?

Then factorize Left-hand-side.

Just play-around with it.....

 

[MathsHelpPlz]

Evaluate:

sec²(Θ) - tan²(Θ) = ?

Then factorize Left-hand-side.

Just play-around with it.....

How do you know to do sec²(Θ) - tan²(Θ) = ?

 

[Deleted member 4993]

How do you know to do sec²(Θ) - tan²(Θ) = ?

Staring the problem down - we have [sec(A) - tan(A)] & they are asking for [sec(A) + tan(A)] - hmmmm if only those were related somehow .... yep - I got it!!!

 

[MathsHelpPlz]

Staring the problem down - we have [sec(A) - tan(A)] & they are asking for [sec(A) + tan(A)] - hmmmm if only those were related somehow .... yep - I got it!!!

Ok thanks , so when a question goes "[1] secA + tanA = 2, show that [2] secA - tanA = (1/2)" do you have to then fiddle around with equation [1]?