# Math Help - Solving equation involving cosec/sec in given interval

1. ## Solving equation involving cosec/sec in given interval

Hi, having a little trouble with this trig question. Keep getting tanx= 1/2
When x infact = 0, 30, 150, 360!

Its probably something stupid i've missed, any help would be greatly appreciated!

2. Nice job factoring.

Once you got to this stage:

$csc(x) = 2$
$sec(x) = 1$

it is time to solve for your x values.

For which degrees is $csc(x) = 2$ ?

Also, for which degrees is $sec(x) = 1$ ?

3. Ah, I see, so then you solve those getting you your answers of 0, 360, 30, and 150.
Great!

So why is my way wrong? Because I can't see how its mathematically incorrect. It clearly is though.

4. Your method involved trying to get one x value from two equations with their own distinct x-values.

You set up an equality that assumed that both the x values were the same, which is not correct.

5. I see, I thought as they were in the same equation they were the same. But now I see you solve it like a quadratic! Cheers, that's really helped alot!