Pertanyaan

Tentukan daerah asal dan daerah hasil untuk setiap fungsi berikut. y = sin x − cos x

Tentukan daerah asal dan daerah hasil untuk setiap fungsi berikut.

$y = sin x - cos x$

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Daerah asal Daerah hasil

$table attributes columnalign right center left columnspacing 0px end attributes row y equals cell sin space x minus cos space x end cell row y equals cell negative cos x plus sin space x end cell row a equals cell negative 1 end cell row b equals 1 row k equals cell square root of a squared plus b squared end root end cell row blank equals cell square root of open parentheses negative 1 close parentheses squared plus 1 squared end root end cell row blank equals cell square root of 1 plus 1 end root end cell row blank equals cell square root of 2 end cell row cell tan space alpha end cell equals cell b over a end cell row blank equals cell fraction numerator 1 over denominator negative 1 end fraction end cell row blank equals cell negative 1 end cell row alpha equals cell a r c space tan open parentheses negative 1 close parentheses end cell row blank equals cell negative 45 degree end cell row blank equals cell 135 degree end cell end table$

y equals sin space x minus cos space x left right double arrow y equals square root of 2 space cos space open parentheses x minus 135 degree close parentheses

Daerah asal

D subscript f equals open curly brackets x vertical line 0 less than x less than 2 straight pi close curly brackets

Daerah hasil

negative square root of 2 less than y less than square root of 2