Finding all of the angles when sec(3x)

Hi Forum

I have some ideas myself on this one, but I'd love to hear how you guys would proceed in this scenario.

Find the sum of all solutions in the interval for the equation

First, we can put this in the form for better viewing.

We know that is and .

Then our period will equal , so the distance from one to another is

Since our will appear 3 times faster because of the , our first is

Now, can we just go summing it to until we get to ?

What do you guys think? :)

Thanks!

Re: Finding all of the angles when sec(3x)

Quote:

Originally Posted by

**Zellator** Hi Forum

I have some ideas myself on this one, but I'd love to hear how you guys would proceed in this scenario.

Find the sum of all solutions in the interval

for the equation

First, we can put this in the form

for better viewing.

We know that

is

and

.

Then our period will equal

, so the distance from one

to another is

Since our

will appear 3 times faster because of the

, our first

is

Now, can we just go summing it to

until we get to

?

What do you guys think? :)

Thanks!

I think you should find all the values of x that lie in the given interval and then add them up.

Re: Finding all of the angles when sec(3x)

Hi Zellator, you have the right idea

Quote:

Originally Posted by

**Zellator**
First, we can put this in the form

for better viewing.

We know that

is

and

.

Now add to these solutions, up to

After that add them up as suggested in post #2.

Re: Finding all of the angles when sec(3x)

Hey mr fantastic and pickslides!

It's great to know that I am on the right track, then.

Thanks for your second opinions, that was really appreciated :)