The numbers $\sin x,$ $\cos x,$ $\tan x$ form a geometric sequence.  Find
\[\cos^3 x + \cos^2 x.\]
Question:
The numbers $\sin x,$ $\cos x,$ $\tan x$ form a geometric sequence.  Find
\[\cos^3 x + \cos^2 x.\]
Answer:
Let's think step by step.

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