Hasil tan 495∘+cos 675∘+sin (−135∘) adalah ....

Pertanyaan

Hasil tan space 495 degree plus cos space 675 degree plus sin space left parenthesis negative 135 degree right parenthesis adalah ....

H. Endah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta

Jawaban terverifikasi

Jawaban

hasil tan space 495 degree plus cos space 675 degree plus sin space left parenthesis negative 135 degree right parenthesis adalah negative 1.

Pembahasan

Ingat bahwa:

sin space open parentheses negative alpha close parentheses equals negative sin space alpha sin space open parentheses 180 minus alpha close parentheses equals sin space alpha cos space open parentheses 360 degree minus alpha close parentheses equals cos space alpha tan space open parentheses 180 degree minus alpha close parentheses equals negative tan space alpha  

Hasil tan space 495 degree plus cos space 675 degree plus sin space left parenthesis negative 135 degree right parenthesis didapatkan:

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell tan space 495 degree plus cos space 675 degree plus sin space left parenthesis negative 135 degree right parenthesis end cell row blank equals cell tan space 135 degree plus cos space 315 degree plus open parentheses negative sin space 135 degree close parentheses end cell row blank equals cell tan space open parentheses 180 degree minus 45 degree close parentheses plus cos space open parentheses 360 degree minus 45 degree close parentheses minus sin space 135 degree end cell row blank equals cell tan space open parentheses 180 degree minus 45 degree close parentheses plus cos space open parentheses 360 degree minus 45 degree close parentheses minus sin space open parentheses 180 degree minus 45 degree close parentheses end cell row blank equals cell negative tan space 45 degree plus cos space 45 degree minus sin space 45 degree end cell row blank equals cell negative 1 plus 1 half square root of 2 minus 1 half square root of 2 end cell row blank equals cell negative 1 end cell end table  

Jadi, hasil tan space 495 degree plus cos space 675 degree plus sin space left parenthesis negative 135 degree right parenthesis adalah negative 1.

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