Buktikan bahwa: cot ( A + B ) = cot A cot B - 1 / cot A + cot B
Matematika
PriyaYugPrasetya
Pertanyaan
Buktikan bahwa: cot ( A + B ) = cot A cot B - 1 / cot A + cot B
1 Jawaban
-
1. Jawaban Anonyme
Bab Trigonometri
Matematika SMA Kelas X
cot (A + B) = 1/(tan (A + B)
= 1 : ((tan A + tan B) / (1 - tan A . tan B))
= (1 - tan A tan B) / (tan A + tan B)
= (1 - 1/cot A . 1/cot B) / (1/cot A + 1/cot B)
= ((cot A . cot B - 1)/(cot A . cot B)) : (cot B + cot A)/(cot A . cot B)
= (cot A . cot B - 1) / (cot A + cot B)
terbukti