Question

СРОЧНО !!! Упростите выражения

Answer 1

$sqrt{2} sin ( alpha -45)-sin alpha +cos alpha = \ = sqrt{2}( sin alpha cos45-cos alphasin45 )-sin alpha +cos alpha = \ = sqrt{2}( frac{ sqrt{2} }{2} sin alpha -frac{ sqrt{2} }{2} cos alpha)-sin alpha +cos alpha = \ = sin alpha -cos alpha-sin alpha +cos alpha =0$

$sqrt{3} cos alpha -2cos( alpha -30)+sin alpha = \ = sqrt{3} cos alpha -2(cos alpha cos30+sin alpha sin30)+sin alpha = \ = sqrt{3} cos alpha -2( frac{ sqrt{3} }{2} cos alpha + frac{1}{2} sin alpha)+sin alpha = \ = sqrt{3} cos alpha - sqrt{3} cos alpha - sin alpha+sin alpha =0$