Question

tan30×cosec60+tan60×sin30

Answer 1

$\tan(30) \times \csc(60) + \tan(60) \times \sin(30)$
=tan30xcosec(90-30)+tan60xsin(90-60)
=tan30xsec30+tan60xcos60
$1 \div \sqrt{3} \times 2 \div \sqrt{3 } + \sqrt{3} \times 1 \div 2$
=2/3+root3/2
$4 + 3 \sqrt{3 } \div 6$
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