# Math Help - Trig. Finding the general solution

1. ## Trig. Finding the general solution

2 cos x = sec x

Thank you ahead of time.

2. Originally Posted by akpolish
2 cos x = sec x

Thank you ahead of time.
Hint: $\sec x = \frac{1}{\cos x}$

Try to solve for $\cos x$ and see.

3. Thank you for the hint but I still don't understand.

4. Originally Posted by akpolish
2 cos x = sec x

Thank you ahead of time.
Originally Posted by akpolish
Thank you for the hint but I still don't understand.

$2 \cos x = \sec x$
$2 \cos x =\frac{1}{\cos x} \text{ \; \; \; \; (}\cos x \neq 0$)
$2 \cos^2 x =1$
$\cos^2 x =\frac{1}{2}$
$\cos x =\pm\frac{\sqrt{2}}{2}$

Now see if you can find the angles which gives you these value.