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cosTentukan besar sudut  pada setiap segitiga beri...

cosTentukan besar sudut begin mathsize 14px style theta end style pada setiap segitiga berikut, kemudian tentukan nilai sinus, cosinus, tangen, cosecant, secan, dan cotangent nya:

Jawaban:

Dengan Teorema pythagoras:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Panjang space sisi space samping space straight theta end cell equals cell square root of left parenthesis 35 space cm right parenthesis squared minus left parenthesis 15 space cm right parenthesis squared end root end cell row blank equals cell square root of 1.225 space cm squared space minus space 225 space cm squared end root end cell row blank equals cell square root of 1.000 space cm squared end root end cell row blank equals cell 10 square root of 10 space cm space end cell end table end style 

Maka Perbandingan trigonometrinya adalah sebagai berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space straight theta space end cell equals cell fraction numerator Panjang space sisi space depan over denominator Panjang space sisi space miring end fraction end cell row blank equals cell fraction numerator 15 space cm over denominator 35 space cm end fraction end cell row blank equals cell 3 over 7 end cell end table end style 

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begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell tan space straight theta space end cell equals cell fraction numerator Panjang space sisi space depan over denominator Panjang space sisi space samping end fraction end cell row blank equals cell fraction numerator 15 space cm over denominator 10 square root of 10 space cm end fraction end cell row blank equals cell fraction numerator 3 over denominator 2 square root of 10 end fraction end cell row blank equals cell fraction numerator 3 square root of 10 over denominator 20 end fraction end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos ecant space straight theta space end cell equals cell fraction numerator 1 over denominator sin space straight theta end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style 3 over 7 end style end fraction end cell row blank equals cell 7 over 3 end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell secan space straight theta space end cell equals cell fraction numerator 1 over denominator cos space straight theta end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style fraction numerator 2 square root of 10 over denominator 7 end fraction end style end fraction end cell row blank equals cell fraction numerator 7 over denominator 2 square root of 10 end fraction end cell row blank equals cell fraction numerator 7 square root of 10 over denominator 20 end fraction end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cotangen space straight theta space end cell equals cell fraction numerator 1 over denominator tan space straight theta end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style fraction numerator 3 square root of 10 over denominator 20 end fraction end style end fraction end cell row blank equals cell fraction numerator 20 over denominator 3 square root of 10 end fraction end cell row blank equals cell fraction numerator 20 square root of 10 over denominator 30 end fraction end cell row blank equals cell fraction numerator 2 square root of 10 over denominator 3 end fraction end cell end table end style 

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