Math, asked by skraut37, 11 months ago

cos9°+ sin9°=√2 sin 54°

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Answered by abdul9838

3

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$\huge \mathfrak{hola} \\ \\ \small \:hey \: dude \: here \: is \: ur \: ans \\ \\ \huge \bf \: solution \\ \\ \small \bf \: cos \: 9° + sin \: 9° = \sqrt{2} \: sin \: 54° \\ \\ \small \bf \: as \: we \: can \: write \\ \\ \bf \: sin \: 9 °+ cos \: 9° = \sqrt{2} \: sin \: 54° \\ \\ \small \: \bf \: 9°(sin \: + cos) = cosec \: 45° \times sin \: 54° \\ \\ \small \bf \: 9°(sin + cos) = \frac{1}{sin \: 45°} \times sin \: 54° \\ \\ \small \bf \: 9(sin + cos) = \frac{6}{5} \\ \\ \small \bf \: sin \: + cos = \frac{6}{5} \times \frac{1}{9} \\ \\ \small \bf \: sin \: + cos = \frac{2}{5 \times 3} \\ \\ \small \bf \: sin \: + cos = \frac{2}{15} \: \: ans$

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Answered by suman682

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