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Problem

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problem

Simplify 4sinxsin(60∘−x)sin(60∘+x).4 \sin x \sin (60^\circ - x) \sin (60^\circ + x).The answer will be a trigonometric function of some simple function of x,x, like "cos(2x)\cos (2x)" or "sin(x3)\sin (x^3)".
Plain-text mathematical notation (without MathML)
Simplify
4sinxsin(60^(∘)−x)sin(60^(∘)+x).The answer will be a trigonometric function of some simple function of x, like "cos(2x)" or "sin(x³)".
Original LaTeX notation
Simplify
\[4 \sin x \sin (60^\circ - x) \sin (60^\circ + x).\]The answer will be a trigonometric function of some simple function of $x,$ like "$\cos (2x)$" or "$\sin (x^3)$".

level

Level 4

type

Precalculus

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Source and history

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