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Hitunglah nilai sin α, cos α, dan tan α pada segitiga berikut!

Pertanyaan

Hitunglah nilai begin mathsize 14px style sin space alpha comma space cos space alpha comma end style dan begin mathsize 14px style tan space alpha end style pada segitiga berikut!

 

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

Panjang alas segitiga di atas adalah:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank equals cell square root of open parentheses 2 p close parentheses squared minus open parentheses p square root of 2 close parentheses squared end root end cell row blank equals cell square root of 4 p squared minus 2 p squared end root end cell row blank equals cell square root of 2 p squared end root end cell row blank equals cell p square root of 2 end cell end table end style 

Dengan demikian,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space alpha end cell equals cell fraction numerator p square root of 2 over denominator 2 p end fraction equals fraction numerator square root of 2 over denominator 2 end fraction end cell row cell cos space alpha end cell equals cell fraction numerator p square root of 2 over denominator 2 p end fraction equals fraction numerator square root of 2 over denominator 2 end fraction end cell row cell tan space alpha end cell equals cell fraction numerator p square root of 2 over denominator p square root of 2 end fraction equals 1 end cell row blank blank blank row blank blank blank end table end style 

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