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Hitunglah nilai dari bentuk

Pertanyaan

Hitunglah nilai dari bentuk fraction numerator 2 plus tan space 30 degree over denominator 1 minus tan squared space 30 degree end fraction    

Pembahasan Soal:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 plus tan space 30 degree over denominator 1 minus tan squared space 30 degree end fraction end cell equals cell fraction numerator 2 plus begin display style fraction numerator square root of 3 over denominator 3 end fraction end style over denominator 1 minus left parenthesis begin display style fraction numerator square root of 3 over denominator 3 end fraction end style right parenthesis squared end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 6 plus square root of 3 over denominator 3 end fraction end style over denominator 1 minus begin display style 3 over 9 end style end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 6 plus square root of 3 over denominator 3 end fraction end style over denominator begin display style 2 over 3 end style end fraction end cell row blank equals cell left parenthesis 6 plus square root of 3 right parenthesis cross times 2 end cell row blank equals cell 12 plus 2 square root of 3 end cell end table 

Jadi, nilai dari fraction numerator 2 plus tan space 30 degree over denominator 1 minus tan squared space 30 degree end fraction adalah 12 plus 2 square root of 3 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 20 Mei 2021

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