Question

Найти значения выражения 15sin68 гадусов sin34 град sin56 град

Answer 1

$\frac{15*sin 68^{0} }{sin 34^{0}*sin56 ^{0} } = \frac{15*sin68 ^{0} }{sin34 ^{0}*sin(90^{0} +34 ^{0} ) } = \frac{15*sin68 ^{0} }{sin34^{0}*cos34 ^{0} } = \frac{15*sin34 ^{0} }{ \frac{1}{2}*(2sin34^{0} cos34^{0}) }$
$= \frac{2*15*sin68 ^{0} }{sin(2* 34^{0} )} = \frac{30*sin68 ^{0} }{sin 68^{0} } =30$