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Dengan menyatakan , tentukan nilai !

Dengan menyatakan begin mathsize 14px style 105 degree equals open parentheses 60 degree plus 45 degree close parentheses end style, tentukan nilai begin mathsize 14px style sin space 105 degree end style!

Jawaban:

Ingat bahwa begin mathsize 14px style sin open parentheses straight a plus straight b close parentheses equals sin space straight a times cos space straight b plus cos space straight a times sinb end style, sehingga kita dapat

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space 105 degree end cell equals cell sin open parentheses 60 degree plus 45 degree close parentheses end cell row blank equals cell sin space 60 degree times cos space 45 degree plus cos space 60 degree times sin space 45 degree end cell row blank equals cell 1 half square root of 3 times 1 half square root of 2 plus 1 half times 1 half square root of 2 end cell row blank equals cell 1 fourth square root of 6 plus 1 fourth square root of 2 end cell row blank equals cell 1 fourth square root of 2 open parentheses square root of 3 plus 1 close parentheses end cell end table end style

Jadi, begin mathsize 14px style sin space 105 degree equals 1 fourth square root of 2 open parentheses square root of 3 plus 1 close parentheses end style.

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