Question

24sin14^ cos14^ cos28^
-----------------------------------
cos34^

Answer 1

$frac{24sin14 ^{0}*cos 14^{0}*cos 28^{0} }{cos 34^{0} }= frac{12*(2sin 14^{0}*cos 14^{0} )*cos28 ^{0} }{cos 34^{0} } = frac{12*sin28 ^{0}*cos28 ^{0} }{cos 34^{0} } =$
$= frac{6*(2sin28 ^{0} *cos 28^{0} )}{cos34 ^{0} } = frac{6*sin 56^{0} }{cos 34^{0} }= frac{6*sin( 90^{0}-34^{0} )}{cos 34^{0} } = frac{6*cos 34^{0} }{cos34^{0} } =6$