2(12cos15^∘ √(x)2 sin 15) 2(sin30 cos15 cos30 sin 15 ) 2 sin (30 15) = 2 sin 15 ...

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Trigonometric Ratios of Compound Angles

cos 15∘-√3sin...

Question

$cos 15^{\circ} - \sqrt{3} sin 15^{\circ}$ .

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Solution

$2 (\frac{1}{2} c o s 15^{\circ} - \frac{\sqrt{x}}{2} s i n 15)$
$2 (s i n 30 c o s 15 - c o s 30 s i n 15)$
$2 s i n (30 - 15)$
$= 2 s i n 15$

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