How would one find the solution for 4cosx-2secx=0?

I have a feeling I'm over thinking the problem.

Question

How would one find the solution for 4cosx-2secx=0?

I have a feeling I'm over thinking the problem.

kva1992 · Answer

furthest im getting is  4cosx -1/2cosx = 0

solomonzelman · Answer

$\LARGE\color{blue}{        4\cos x-2\sec x=0	 }$

$\LARGE\color{blue}{        2(2\cos x-\sec x)=0	 }$

$\LARGE\color{blue}{       2\cos x-\sec x=0	 }$
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$\LARGE\color{blue}{        2\cos x-\frac{1}{\cos x}=0	 }$         everything times `cos x`

$\LARGE\color{blue}{       2\cos^2x-1=0	 }$

$\LARGE\color{blue}{       2\cos^2x=1	 }$

$\LARGE\color{blue}{       \cos^2x=1/2	 }$

$\LARGE\color{blue}{       \cos x=±\sqrt{1/2}	 }$

solomonzelman · Answer

That would be π /4

kva1992 · Answer

alright i have a question now

kva1992 · Answer

what happened to the factored 2 does it just disappear?