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Buktikan table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator tan space beta plus cotan space beta over denominator tan space beta minus c o tan space beta 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 cell fraction numerator 1 over denominator 2 space sin squared beta minus 1 end fraction end cell end table 

Pembahasan Soal:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator tan space beta plus cotan space beta over denominator tan space beta minus c o tan space beta end fraction end cell equals cell fraction numerator 1 over denominator 2 space sin squared beta minus 1 end fraction end cell row cell fraction numerator begin display style fraction numerator sin space beta over denominator cos space beta end fraction end style plus begin display style fraction numerator cos space beta over denominator sin space beta end fraction end style over denominator begin display style fraction numerator sin space beta over denominator cos space beta end fraction end style minus begin display style fraction numerator cos space beta over denominator sin space beta end fraction end style end fraction end cell equals cell fraction numerator 1 over denominator 2 space sin squared beta minus 1 end fraction end cell row cell fraction numerator begin display style fraction numerator sin squared beta plus cos squared beta over denominator up diagonal strike sin space beta space cos space beta end strike end fraction end style over denominator begin display style fraction numerator sin squared beta minus cos squared beta over denominator up diagonal strike sin space beta space cos beta end strike end fraction end style end fraction end cell equals cell fraction numerator 1 over denominator 2 space sin squared beta minus 1 end fraction end cell row cell fraction numerator sin squared beta plus cos squared beta over denominator sin squared beta minus cos squared beta end fraction end cell equals cell fraction numerator 1 over denominator 2 space sin squared beta minus 1 end fraction end cell row cell fraction numerator 1 over denominator sin squared beta minus left parenthesis 1 minus sin squared beta right parenthesis end fraction end cell equals cell fraction numerator 1 over denominator 2 space sin squared beta minus 1 end fraction end cell row cell fraction numerator 1 over denominator sin squared beta minus 1 plus sin squared beta end fraction end cell equals cell fraction numerator 1 over denominator 2 space sin squared beta minus 1 end fraction end cell row cell fraction numerator 1 over denominator 2 sin squared beta minus 1 end fraction end cell equals cell fraction numerator 1 over denominator 2 space sin squared beta minus 1 end fraction space left parenthesis terbukti right parenthesis end cell end table

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 10 Juni 2021

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