Question

sin 45 sin 30+cos45 cos30​

Answer 1

Answer:

hey Mate.......

here is your Ans............

cos 45×cos 30 +sin45 ×sin 30

1/√2×√3/2. + 1/√2× 1/2

√3/2√2 +1/2√2

(√3+1)/(2√2) or 0.965

Step-by-step explanation:

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Answer 2

$\tt \huge \: {answer : } \\ \\ \bf \huge \bigstar \: \frac{ \sqrt{3} }{2 \sqrt{2} } \\ \\ \\ \tt \huge{solution : } \\ \\ \huge \sf \: sin \: 45 \: sin \: 30 + cos \: 45 \: cos \: 30 \\ \\ we \: know \: that \\ \\ \implies \bf \: sin \: 45 = \frac{1}{ \sqrt{2} } \\ \\ \implies \bf \:sin \: 30 = \frac{1}{2} \\ \\ \implies \bf \:cos \: 45 = \frac{1}{ \sqrt{2} } \\ \\ \implies \bf \:cos \: 30 = \frac{ \sqrt{3} }{2} \\ \\ now \: substitute \: the \: values \: \: \\ \\ \sf \huge \mapsto \: \frac{1}{ \sqrt{2} } \times \frac{1}{2} + \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} \\ \\ \sf \huge \mapsto \: \frac{1}{2 \sqrt{2} } + \frac{ \sqrt{3} }{2 \sqrt{2} } \\ \\ \sf \huge \mapsto \: \frac{ \sqrt{3} }{2 \sqrt{2} }$