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Jika , dan , tentukan  dan !

Pertanyaan

Jika sin space open parentheses A plus B close parentheses equals 1 comma space cos space open parentheses A minus B close parentheses equals 1 half, dan 0 degree less than open parentheses A plus B close parentheses less or equal than 90 degree, tentukan A dan B!

Pembahasan Soal:

Diketahui:

sin space open parentheses A plus B close parentheses equals 1 cos space open parentheses A minus B close parentheses equals 1 half 0 degree less than left parenthesis A plus B right parenthesis less or equal than 90 degree        

table attributes columnalign right center left columnspacing 0px end attributes row cell sin space left parenthesis A plus B right parenthesis end cell equals 1 row cell A plus B end cell equals cell 90 degree end cell row A equals cell 90 degree minus B end cell end table

Substitusikan persamaan A equals 90 degree minus B ke persamaan cos space left parenthesis A minus B right parenthesis equals 1 half.

table attributes columnalign right center left columnspacing 0px end attributes row cell cos space left parenthesis A minus B right parenthesis end cell equals cell 1 half end cell row cell cos space open parentheses 90 degree minus B minus B close parentheses end cell equals cell 1 half end cell row cell cos space open parentheses 90 degree minus 2 B close parentheses end cell equals cell 1 half end cell row cell sin space 2 B end cell equals cell 1 half end cell row cell 2 B end cell equals cell 30 degree end cell row B equals cell 15 degree end cell end table

Substitusikan nilai B ke persamaan A equals 90 degree minus B.

table attributes columnalign right center left columnspacing 0px end attributes row A equals cell 90 degree minus B end cell row blank equals cell 90 degree minus 15 degree end cell row blank equals cell 75 degree end cell end table

Jadi, A equals 75 degree dan B equals 15 degree.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 09 Juni 2021

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