The numbers $\sin x,$ $\cos x,$ $\tan x$ form a geometric sequence.  Find
\[\cos^3 x + \cos^2 x.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The numbers $\sin x,$ $\cos x,$ $\tan x$ form a geometric sequence.  Find
\[\cos^3 x + \cos^2 x.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1
The numbers $\sin x,$ $\cos x,$ $\tan x$ form a geometric sequence.  Find
\[\cos^3 x + \cos^2 x.\]
train