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PtichkaEL [24]
1 year ago
7

. If sin(x + y)=sin x.cos y+cos x.sin y, then find the value of sin 75 degrees​

Mathematics
1 answer:
miv72 [106K]1 year ago
7 0

Answer:

\sf \dfrac{\sqrt{6}+\sqrt{2}}{4}

Step-by-step explanation:

<h3>Trigonometry:</h3>

   75 = 45 + 30

Sin (x + y) = Sin x *Cos y + Cos x * Sin y

Sin (45 + 30) = Sin 45 * Cos 30 + Cos 45 * Sin 30

                      \sf =\dfrac{1}{\sqrt{2}}*\dfrac{\sqrt{3}}{2}+\dfrac{1}{\sqrt{2}}* \dfrac{1}{2}\\\\\\=\dfrac{\sqrt{3}}{2\sqrt{2}}+\dfrac{1}{2\sqrt{2}}\\\\\\=\dfrac{\sqrt{3}*\sqrt{2}}{2*\sqrt{2}*\sqrt{2}}+\dfrac{1*\sqrt{2}}{2\sqrt{2}*\sqrt{2}}\\\\\\=\dfrac{\sqrt{6}}{2*2}+\dfrac{\sqrt{2}}{2*2}\\\\\\=\dfrac{\sqrt{6}+\sqrt{2}}{4}

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3 years ago
Karley is an architect building the city pool. The larger rectangle represents the entire pool area. The smaller rectangle repre
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