Math, asked by hrirhik, 11 months ago

sin60×cos30+cos60×sin30

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Answered by AsifAhamed4
15

sin \: 6 0 =  \sqrt{3}  \div 2 \\ cos \: 30 =  \sqrt{3}  \div 2 \\ cos \:  60 = 1 \div 2 \\ sin \: 30 = 1 \div 2 \\ therefore \: sin \: 60 \times cos \: 30 + cos \: 60 \times sin \: 30 =  \sqrt{3}  \div 2 \times  \sqrt{3}  \div 2 + 1 \div 2 \times 1 \div 2 \\  = 3 \div 4 + 1 \div 4 \\ 4 \div 4 \\  = 1
I hope this helps you
Answered by shishir54
1
using , complementary angles property ,
sin60 =cos 30 and cos 30= sin60


so required answer is 1
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