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Diketahui sudut lancip. Jika . Maka nilai

Diketahui begin mathsize 14px style P end style sudut lancip. Jika begin mathsize 14px style tan space P equals fraction numerator 5 square root of 11 over denominator 11 end fraction end style. Maka nilai begin mathsize 14px style sin space P equals space... end style 

  1. begin mathsize 14px style fraction numerator 5 over denominator square root of 11 end fraction end style 

  2. begin mathsize 14px style fraction numerator 6 over denominator square root of 11 end fraction end style 

  3. begin mathsize 14px style 5 over 6 end style 

  4. begin mathsize 14px style fraction numerator square root of 11 over denominator 5 end fraction end style 

  5. begin mathsize 14px style fraction numerator square root of 11 over denominator 6 end fraction end style 

Jawaban:

begin mathsize 14px style tan space P equals fraction numerator 5 square root of 11 over denominator 11 end fraction end style dengan begin mathsize 14px style P end style sudut lancip 

Berdasarkan defenisi, begin mathsize 14px style tan space P equals y over x end style. Karena begin mathsize 14px style tan space P equals fraction numerator 5 square root of 11 over denominator 11 end fraction end style, maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell 5 square root of 11 end cell row x equals 11 row blank blank blank row r equals cell square root of x squared plus y squared end root end cell row blank equals cell square root of open parentheses 5 square root of 11 close parentheses squared plus 11 squared end root end cell row blank equals cell square root of 275 plus 121 end root end cell row blank equals cell square root of 396 end cell row blank equals cell 6 square root of 11 end cell end table end style 

Maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space P end cell equals cell y over r end cell row blank equals cell fraction numerator 5 square root of 11 over denominator 6 square root of 11 end fraction end cell row blank equals cell 5 over 6 end cell end table end style  

Jadi jawaban yang tepat adalah C. 

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