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Carilah nilai perbandingan trigonometri sudut  untuk perbandingan yang lain. d.

Pertanyaan

Carilah nilai perbandingan trigonometri sudut begin mathsize 14px style alpha end style untuk perbandingan yang lain.

d. begin mathsize 14px style s e c space alpha equals 2 end style 

  1. undefined 

  2. undefined 

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sec space straight alpha end cell equals cell 2 space left parenthesis miring equals 2 comma space samping equals 1 right parenthesis end cell row cell depan squared end cell equals cell miring squared minus samping squared end cell row cell depan squared end cell equals cell 2 squared minus 1 squared end cell row cell depan squared end cell equals cell 4 minus 1 end cell row cell depan squared end cell equals 3 row depan equals cell square root of 3 end cell end table end style

begin mathsize 14px style sin space alpha equals depan over miring equals fraction numerator square root of 3 over denominator 2 end fraction equals 1 half square root of 3 end style

begin mathsize 14px style cos space straight alpha equals samping over miring equals 1 half end style

begin mathsize 14px style tan space alpha equals depan over samping equals fraction numerator square root of 3 over denominator 1 end fraction equals square root of 3 end style

begin mathsize 14px style cosec space straight alpha equals miring over depan equals fraction numerator 2 over denominator square root of 3 end fraction equals fraction numerator 2 over denominator square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction equals 2 over 3 square root of 3 end style

begin mathsize 14px style cotan space straight alpha equals samping over depan equals fraction numerator 1 over denominator square root of 3 end fraction equals fraction numerator 1 over denominator square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction equals 1 third square root of 3 end style 

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Terakhir diupdate 10 Juni 2021

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