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Hitunglah: c. , jika ,  lancip, dan ,  tumpul.

Hitunglah:

c. begin mathsize 14px style tan open parentheses a plus b close parentheses end style, jika begin mathsize 14px style cos space a equals 4 over 5 end stylebegin mathsize 14px style a end style lancip, dan begin mathsize 14px style sin space b equals 8 over 17 end stylebegin mathsize 14px style b end style tumpul. 

Jawaban:

begin mathsize 14px style cos space a equals 4 over 5 end style, begin mathsize 14px style a end style lancip maka: 

begin mathsize 14px style sin space a equals fraction numerator square root of 5 squared minus 4 squared end root over denominator 5 end fraction equals 3 over 5 tan space a equals 3 over 4 end style  

begin mathsize 14px style sin space b equals 8 over 17 end stylebegin mathsize 14px style b end style tumpul maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos space b end cell equals cell fraction numerator square root of 17 squared minus 8 squared end root over denominator 17 end fraction equals 15 over 17 end cell row cell tan space b end cell equals cell 8 over 15 end cell end table end style 

Jadi, nilai begin mathsize 14px style tan open parentheses a plus b close parentheses end style adalah 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell tan open parentheses a plus b close parentheses end cell equals cell fraction numerator tan space a plus tan space b over denominator 1 minus tan space a space tan space b end fraction end cell row blank equals cell fraction numerator begin display style 3 over 4 end style plus begin display style 8 over 15 end style over denominator 1 minus open parentheses 3 over 4 cross times 8 over 15 close parentheses end fraction end cell row blank equals cell fraction numerator begin display style 77 over 60 end style over denominator 1 minus begin display style 2 over 5 end style end fraction end cell row blank equals cell fraction numerator 77 over 60 over denominator begin display style 3 over 5 end style end fraction end cell row blank equals cell 77 over 60 cross times 5 over 3 end cell row blank equals cell 77 over 36 end cell end table end style 

 

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