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tan 67,5° tan 22,5° = ...

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Klaim

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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$begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell tan invisible function application 67 , 5 degree tan invisible function application 22 , 5 degree end cell equals cell fraction numerator sin invisible function application 67 , 5 degree over denominator cos invisible function application 67 , 5 degree end fraction times fraction numerator sin invisible function application 22 , 5 degree over denominator cos invisible function application 22 , 5 degree end fraction end cell row blank equals cell fraction numerator sin invisible function application 67 , 5 degree times sin invisible function application 22 , 5 degree over denominator cos invisible function application 67 , 5 degree times cos invisible function application 22 , 5 degree end fraction end cell row blank equals cell fraction numerator negative 1 half open parentheses cos invisible function application open parentheses 67 , 5 degree plus 22 , 5 degree close parentheses minus cos invisible function application open parentheses 67 , 5 degree minus 22 , 5 degree close parentheses close parentheses over denominator 1 half open parentheses cos invisible function application open parentheses 67 , 5 degree plus 22 , 5 degree close parentheses plus cos invisible function application open parentheses 67 , 5 degree minus 22 , 5 degree close parentheses close parentheses end fraction end cell row blank equals cell fraction numerator negative 1 half open parentheses cos invisible function application 90 degree minus cos invisible function application 45 degree close parentheses over denominator 1 half open parentheses cos invisible function application 90 degree plus cos invisible function application 45 degree close parentheses end fraction end cell row blank equals cell fraction numerator negative open parentheses cos invisible function application 90 degree minus cos invisible function application 45 degree close parentheses over denominator cos invisible function application 90 degree plus cos invisible function application 45 degree end fraction end cell row blank equals cell fraction numerator negative open parentheses 0 minus 1 half square root of 2 close parentheses over denominator 0 plus 1 half square root of 3 end fraction end cell row blank equals cell fraction numerator 1 half square root of 2 over denominator 1 half square root of 2 end fraction end cell row blank equals 1 row blank blank blank end table end style$