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Hitunglah nilai dari bentuk

Pertanyaan

Hitunglah nilai dari bentuk fraction numerator cos squared space 60 degree minus sin squared space 60 degree over denominator 2 sin squared space 60 minus 1 end fraction 

Pembahasan Soal:

Ingat kembali bahwa sin squared space straight alpha plus cos squared space straight alpha equals 1 maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cos squared space 60 degree minus sin squared space 60 degree over denominator 2 sin squared space 60 minus 1 end fraction end cell equals cell fraction numerator cos squared space 60 degree minus left parenthesis 1 minus cos squared space 60 degree right parenthesis over denominator 2 left parenthesis 1 minus cos squared space 60 degree right parenthesis minus 1 space end fraction end cell row blank equals cell fraction numerator 2 space cos squared space 60 degree minus 1 over denominator 2 minus 2 space cos space 60 degree minus 1 end fraction end cell row blank equals cell fraction numerator 2 left parenthesis begin display style 1 half end style right parenthesis squared minus 1 over denominator 1 minus 2 left parenthesis begin display style 1 half end style right parenthesis squared end fraction end cell row blank equals cell fraction numerator 2 left parenthesis begin display style 1 fourth end style right parenthesis minus 1 over denominator 1 minus 2 left parenthesis begin display style 1 fourth end style right parenthesis end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style minus 1 over denominator 1 minus begin display style 1 half end style end fraction end cell row blank equals cell fraction numerator negative begin display style 1 half end style over denominator begin display style 1 half end style end fraction end cell row blank equals cell negative 1 end cell end table  

Jadi, nilai dari fraction numerator cos squared space 60 degree minus sin squared space 60 degree over denominator 2 sin squared space 60 minus 1 end fraction adalah negative 1 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 20 Mei 2021

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