Bang Quis bang :v, ,

Posted on


Bang Quis bang :v


\Huge{\sf{\frac{cos \: 30^{\circ} }{tan \: 60^{\circ}} = }}


~Trigonometri

Penyelesaian Soal

____

Soal

 {\rm{\frac{ \cos(30\degree ) }{\tan(60\degree)} = ...}}

________________

Penyelesaian

Ingat ahwa

  • cos 30° ➡️ √3/2 atau ½3
  • tan 60° ➡️ √3

Metode Pertama (Metode Umum)

 {\rm{= \frac{ \cos(30\degree ) }{\tan(60\degree)}}}

 {\rm{=  \frac{ \frac{ \sqrt{3} }{2} }{ \sqrt{3} }}}

 {\rm{= \frac{\sqrt{3}}{2} \div \sqrt{3} }}

 {\rm{= \frac{\sqrt{3}}{2} \div \frac{\sqrt{3}}{1} }}

 {\rm{= \frac{\sqrt{3}}{2} \times \frac{1}{\sqrt{3}}}}

 {\rm{= \frac{\sqrt{3} \times 1}{2 \times \sqrt{3}}}}

 {\rm{=  \frac{\sqrt{3}}{2 \sqrt{3}}}}

 {\boxed{\rm{\blue{=  \frac{1}{2}}}}}

Atau

 {\rm{=  \frac{1 \times 50}{2 \times 50}}}

 {\rm{=  \frac{50}{100}}}

{\boxed{\rm{\blue{= 0.5}}}}

__________________________

Metode Kedua (Metode Cancel)

 {\rm{= \frac{ \cos(30\degree ) }{\tan(60\degree)}}}

 {\rm{=  \frac{ \frac{1}{2} \sqrt{3}}{ \sqrt{3} }}}

 {\rm{=  \frac{ \frac{1}{2}( {\cancel{\sqrt{3}})}}{ ({\cancel{\sqrt{3}})} }}}

 {\boxed{\rm{\blue{=  \frac{1}{2}}}}}

Atau

 {\rm{=  \frac{1 \times 50}{2 \times 50}}}

 {\rm{=  \frac{50}{100}}}

{\boxed{\rm{\blue{= 0.5}}}}

___________

Kesimpulan

Jadi, Hasil dari  {\rm{= \frac{ \cos(30\degree ) }{\tan(60\degree)}}} adalah ½ atau 0,5

======================================

Detail Jawaban

  • Mapel : Matematika
  • Kelas : X ( 10 SMA )
  • Materi : Trigonometri
  • Kode Soal : 2
  • Kode Kategorisasi : 10.2.7

.

_______GANBATTE_______


13e9c522072e4766eea6db5698d76940
137fd31793cd817a64c75531e1a6917d
1240b0ec77b46f487ec42f77f16c5951

Leave a Reply

Your email address will not be published.