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Karina Trujillo

Karina Trujillo

Answered question

2022-06-08

How to simplify sin ( x y ) cos ( y ) + cos ( x y ) sin ( y )

Answer & Explanation

Cahokiavv

Cahokiavv

Beginner2022-06-09Added 31 answers

sin ( x y ) cos ( y ) + cos ( x y ) sin ( y ) = [ sin ( x ) cos ( y ) cos ( x ) sin ( y ) ] cos ( y ) + [ cos ( x ) cos ( y ) + sin ( x ) sin ( y ) ] sin ( y ) = sin ( x ) cos ( y ) cos ( y ) cos ( x ) sin ( y ) cos ( y ) + cos ( x ) cos ( y ) sin ( y ) + sin ( x ) sin ( y ) sin ( y ) = sin ( x ) cos 2 ( y ) + sin ( x ) sin 2 ( y ) = sin ( x ) [ cos 2 ( y ) + sin 2 ( y ) ] = sin ( x ) [ 1 ] = sin ( x )

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