Thread: Algebra

Solve the equation:

, in the interval

Please help me on how to simplify this equation in the exam (any techniques?).

Thanks!

Originally Posted by rednest

Solve the equation:

, in the interval

Please help me on how to simplify this equation in the exam (any techniques?).

Thanks!

i suggest you may start with..

Here's what I did. I'm pretty sure it's right:

We have-



First:



Next:



Keep in mind that

Then:



Now we remember that:



Therefore:



So:



Negatives can cancel, giving us:



Now, we go to another identity:



So:





Now:



And finally:





And there you go.

Originally Posted by Aryth

Now:



And finally:





And there you go.

we cannot do this immediately, since can be zero (and pi) and so does ..

so, the best way is to do this: ..

and there you go.. and also

after finding the values of , try to check whether it fits the original equation..