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MATH / The numbers sinx, cosx, tanx form a geometric sequence. Find

Problem

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problem

The numbers sinx,\sin x, cosx,\cos x, tanx\tan x form a geometric sequence. Find cos3x+cos2x.\cos^3 x + \cos^2 x.
Plain-text mathematical notation (without MathML)
The numbers sinx, cosx, tanx form a geometric sequence.  Find
cos³x+cos²x.
Original LaTeX notation
The numbers $\sin x,$ $\cos x,$ $\tan x$ form a geometric sequence.  Find
\[\cos^3 x + \cos^2 x.\]

level

Level 4

type

Intermediate Algebra

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Source and history

Official source

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