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Diketahui sin α = 3 2 ​ , dan α sudut lancip ( 0 ∘ < α < 9 0 ∘ ) Carilah nilai perbandingan trigonometri sudut yang lain!

Diketahui , dan sudut lancip 
Carilah nilai perbandingan trigonometri sudut undefined yang lain!

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Diketahui , dan sudut lancip Ingat : Maka, tentukan dulu panjang sisi samping (sa)dengan teorema phytagoras Sehingga, nilai perbandingan trigonometri sudut yang lain

Diketahui begin mathsize 14px style sin space alpha equals 2 over 3 end style, dan begin mathsize 14px style alpha end style sudut lancip begin mathsize 14px style open parentheses 0 degree less than alpha less than 90 degree close parentheses end style

Ingat :

begin mathsize 14px style bullet sin space straight alpha equals de over mi bullet cos space straight alpha equals sa over mi bullet tan space straight alpha equals de over sa bullet cosec space straight alpha equals fraction numerator 1 over denominator sin space straight alpha end fraction bullet sec space straight alpha equals fraction numerator 1 over denominator cos space straight alpha end fraction bullet cot space straight alpha equals fraction numerator 1 over denominator tan space straight alpha end fraction end style 

Maka, tentukan dulu panjang sisi samping (sa) dengan  teorema phytagoras

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row sa equals cell square root of mi squared minus de squared end root end cell row blank equals cell square root of 3 squared minus 2 squared end root end cell row blank equals cell square root of 5 end cell end table end style 

Sehingga, nilai perbandingan trigonometri sudut undefined yang lain

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begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell bullet tan space straight alpha end cell equals cell de over sa end cell row blank equals cell fraction numerator 2 over denominator square root of 5 end fraction equals 2 over 5 square root of 5 end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell bullet cosec space straight alpha end cell equals cell fraction numerator 1 over denominator sin space straight alpha end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style 2 over 3 end style end fraction equals 3 over 2 end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell bullet sec space straight alpha end cell equals cell fraction numerator 1 over denominator cos space straight alpha end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style fraction numerator square root of 5 over denominator 3 end fraction end style end fraction equals fraction numerator 3 over denominator square root of 5 end fraction equals 3 over 5 square root of 5 end cell end table end style  

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell bullet cot space straight alpha end cell equals cell fraction numerator 1 over denominator tan space straight alpha end fraction end cell row blank equals cell fraction numerator 1 over denominator begin display style fraction numerator 2 over denominator square root of 5 end fraction end style end fraction equals fraction numerator square root of 5 over denominator 2 end fraction end cell end table end style 

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Tentukan perbandingan trigonometri sin β , cos β , tan β , cosec β , secan β dan cotan β pada segitiga berikut.

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