Tentukan 5 nilai perbandingan trigonometri yang lain untuk setiap pernyataan berikut ini   cos α=53​, 23π​<α<2π

Pertanyaan

Tentukan 5 nilai perbandingan trigonometri yang lain untuk setiap pernyataan berikut ini 

 

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F. Ayudhita

Master Teacher

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Pembahasan

Pembahasan

Ingat begin mathsize 14px style fraction numerator 3 straight pi over denominator 2 end fraction less than alpha less than 2 straight pi end style, sudut berada di kuadran IV begin mathsize 14px style open parentheses x greater than 0 space dan space y less than 0 close parentheses end style

begin mathsize 14px style cos space straight alpha equals 3 over 5 equals x over r end style

Mencari nilai begin mathsize 14px style y end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell y squared end cell equals cell r squared minus x squared end cell row y equals cell plus-or-minus square root of r squared minus x squared end root end cell row y equals cell plus-or-minus square root of 5 squared minus 3 squared end root end cell row y equals cell plus-or-minus square root of 25 minus 9 end root end cell row y equals cell plus-or-minus square root of 16 end cell row y equals cell negative 4 space left parenthesis karena space y less than 0 right parenthesis end cell end table end style

Jadi

  • begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank sin end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell y over r end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator negative 4 over denominator 5 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 4 over 5 end cell end table end style
  • begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank tan end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell y over x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator negative 4 over denominator 3 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 4 over 3 end cell end table end style
  • begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cot end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell x over y end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 3 over denominator negative 4 end fraction end cell equals cell negative 3 over 4 end cell end table end style
  • begin mathsize 14px style cos e c space table attributes columnalign right center left columnspacing 0px end attributes row blank blank alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell r over y end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 5 over denominator negative 4 end fraction end cell equals cell negative 5 over 4 end cell end table end style
  • begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank sec end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank alpha end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell r over x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 5 over 3 end cell end table end style

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Eugenie Friskyla

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Naira Oktaviani Azzahra

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Pertanyaan serupa

Tentukan perbandingan trigonometri berikut:

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