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Trigonometric Equations

If 2 cos ...

Question

If $2 c o s 2 A = \sqrt{3}$ and A is acute, find :
A in degrees

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Solution

$2 c o s 2 A = \sqrt{3}$
$c o s 2 A = \frac{\sqrt{3}}{2}$
$c o s 2 A = c o s 30$
$2 A = 30$
$A = 15^{\circ}$

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