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Tentukan nilai dari  = ...

Pertanyaan

Tentukan nilai dari fraction numerator cot space 45 degree cross times cos space 60 degree cross times sin space 45 degree over denominator cos space 30 degree cross times cot space 30 degree cross times sin space 60 degree end fraction = ...

Pembahasan Soal:

Ingat kembali bahwa cot space straight alpha equals fraction numerator 1 over denominator tan space straight alpha end fraction maka

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cot space 45 degree cross times cos space 60 degree cross times sin space 45 degree over denominator cos space 30 degree cross times cot space 30 degree cross times sin space 60 degree end fraction end cell equals cell fraction numerator begin display style fraction numerator 1 over denominator tan space 45 degree end fraction end style cross times begin display style 1 half end style cross times begin display style 1 half end style square root of 2 over denominator begin display style 1 half end style square root of 3 cross times begin display style fraction numerator 1 over denominator tan space 30 degree end fraction end style cross times begin display style 1 half end style square root of 3 end fraction end cell row blank equals cell fraction numerator begin display style 1 over 1 end style cross times begin display style 1 fourth end style square root of 2 over denominator begin display style 3 over 4 end style cross times begin display style 1 third end style square root of 3 end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator square root of 2 over denominator 4 end fraction end style over denominator begin display style fraction numerator square root of 3 over denominator 4 end fraction end style end fraction end cell row blank equals cell fraction numerator square root of 2 over denominator 4 end fraction cross times fraction numerator 4 over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator square root of 2 over denominator square root of 3 end fraction end cell end table 

Jadi, nilai dari fraction numerator cot space 45 degree cross times cos space 60 degree cross times sin space 45 degree over denominator cos space 30 degree cross times cot space 30 degree cross times sin space 60 degree end fraction adalah fraction numerator square root of 2 over denominator square root of 3 end fraction 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Mei 2021

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