Hitunglah nilai-nilai dari bentuk berikut. a. cos 300∘−tan 225∘sin 300∘+cos 150∘

Pertanyaan

Hitunglah nilai-nilai dari bentuk berikut.

a. $fraction numerator sin space 300 degree plus cos space 150 degree over denominator cos space 300 degree minus tan space 225 degree end fraction$

S. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

nilai dari $fraction numerator sin space 300 degree plus cos space 150 degree over denominator cos space 300 degree minus tan space 225 degree end fraction equals 2 square root of 3$ .

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator sin space 300 degree plus cos space 150 degree over denominator cos space 300 degree minus tan space 225 degree end fraction end cell row blank equals cell fraction numerator sin space left parenthesis 360 degree minus 300 degree right parenthesis plus cos space left parenthesis 180 degree minus 150 degree right parenthesis over denominator cos left parenthesis 360 degree minus 300 degree right parenthesis minus tan left parenthesis 180 degree plus 45 degree right parenthesis end fraction end cell row blank equals cell fraction numerator negative sin space 60 degree minus cos space 30 degree over denominator cos space 60 degree minus tan space 45 degree end fraction end cell row blank equals cell fraction numerator negative begin display style 1 half end style square root of 3 minus begin display style 1 half end style square root of 3 over denominator begin display style 1 half end style minus 1 end fraction end cell row blank equals cell fraction numerator up diagonal strike negative begin display style 1 half end style end strike open parentheses square root of 3 plus square root of 3 close parentheses over denominator up diagonal strike negative begin display style 1 half end style end strike end fraction end cell row blank equals cell 2 square root of 3 end cell end table$

Dengan demikian, nilai dari $fraction numerator sin space 300 degree plus cos space 150 degree over denominator cos space 300 degree minus tan space 225 degree end fraction equals 2 square root of 3$ .