Selasa, 08 Oktober 2013

PEMBUKTIAN 1+1=2



Kita semua pasti sudah tau bahwa 1+1=2 bahkan semenjak kita duduk dibangku Sekolah Dasar sudah diajarkan bahwa hasil jumlah 1 ditambah 1 itu adalah 2, tapi ada yg tau ga sih kenapa 1+1=2 ? 
kenpa ga 3 atau 4 aja gitu ?
Ga perlu panjang lebar ya langsung aja nih ane coba buktiin bahwa 1+1=2

$1+1$ $=log\text{10}+log\text{10}$

          $=\dfrac{(log\text{10}\times100+100)}{200}+\dfrac{(log\text{10}\times100+100)}{200}$

          $=\dfrac{(log\text{10}\times100+100)}{(50\times4)}+\dfrac{(log\text{10}\times100+100)}{(50\times4)}$

          $=\dfrac{1}{4}\left(\dfrac{(log\text{10}\times100+100\: sin\text{90})}{50}+\dfrac{(log\text{10}\times100+100\: sin\text{90})}{50}\right)$

          $=\dfrac{1}{2}\times\dfrac{1}{2}\left(\dfrac{(\text{100 }log\text{10}+100\: sin\text{90})}{(50\: sin\text{0}+50\: sin\text{90})}+\dfrac{(100\: log\text{10}+100\: sin\text{90})}{(50\: sin\text{0}+50\: sin\text{90})}\right)$

          $=\dfrac{1}{2}\left(\dfrac{(100\: log\text{10}+100\: sin\text{90})}{(50\: sin\text{0}+50\: sin\text{90})}\right)$

          $=sin\text{30}\left(\dfrac{100}{50}\,\cdot\,\dfrac{(log\text{10}+sin\text{90})}{(sin\text{0}+sin\text{90})}\right)$

          $=sin\text{30}\left(2\,\cdot\,\dfrac{(log\text{10}+sin\text{90})}{(sin\text{0}+sin\text{90})}\right)$

          $=sin\text{30}\left(2\,\cdot\,\dfrac{(log\text{10}+sin\text{90})}{(sin\text{0}+sin\text{90})}\times\dfrac{(sin\text{0}-sin\text{90})}{(sin\text{0}-sin\text{90})}\right)$

          $=sin\text{30}\left(2\,\cdot\,\dfrac{(log\text{10}+sin\text{90})(sin\text{0}-sin\text{90})}{(sin^{2}\,0-sin^{2}\,90)}\right)$

          $=\dfrac{1}{2}\left(2\,\cdot\,\dfrac{(1+1)(-1)}{(-1)}\right)$

          $=\dfrac{1}{2}\left(2\,\cdot\,2\right)$

          $=\dfrac{1}{2}\left(4\right)$

          $=2$


Nah, terbukti kan bahwa hasil penjumlahan 1 ditambah 1 itu adalah 2













NB:
Mohon maaf jika ada kesalahan dalam penulisan, kritik dan saran silahkan tulis dikolom komentar.

Tidak ada komentar:

Posting Komentar