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Nesterboy [21]
3 years ago
8

What is the solution to the inequality |x-4|< 3? –7 < x < –1 1 < x < 7 x < –7 or x < –1 x > 1 or x <

7
Mathematics
1 answer:
balandron [24]3 years ago
5 0

|x-4| < 3\iff x-4 < 3\ \wedge\ x-4 > -3\ \ \ \ |+4\\\\x < 7\ \wedge\ x > 1\\\\Answer:\ \boxed{1 < x < 7}

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now plug in all the given coordinates to the equation to see which pair fits:
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By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is \frac{\sqrt{2+\sqrt{3}}}{2}.

<h3>How to find the exact value of a trigonometric expression</h3>

<em>Trigonometric</em> functions are <em>trascendent</em> functions, these are, that cannot be described algebraically. Herein we must utilize <em>trigonometric</em> formulae to calculate the <em>exact</em> value of a <em>trigonometric</em> function:

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\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }

\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }

\sin \frac{5\pi}{12} =  \sqrt{\frac{2+\sqrt{3}}{4} }

\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}

By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is \frac{\sqrt{2+\sqrt{3}}}{2}.

To learn more on trigonometric functions: brainly.com/question/15706158

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