Question

Найдите значения выражений

Answer 1

10. 12/(sin²37°+sin²(90°+37°))=12/(sin²37°+(cos²37°)=12/1=12

Answer 2

$11) frac{2sin( alpha -7 pi )+cos( frac{3 pi }{2}+ alpha ) }{sin( alpha + pi )}= frac{-2sin(6 pi +( pi - alpha ))+sin alpha }{-sin alpha }= frac{2sin( pi - alpha )+sin alpha }{sin alpha }= \ = frac{2sin alpha +sin alpha }{sin alpha }= frac{3sin alpha }{sin alpha }=3.$$10) frac{12}{sin^237+sin^2127}= frac{12}{sin^237+sin^2(90+37)}= frac{12}{sin^237+cos^237}= frac{12}{1}=12.$