hasil dari contangen 22½
Matematika
ryan975
Pertanyaan
hasil dari contangen 22½
2 Jawaban
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1. Jawaban PriscoMCM
tan 1 / 2 A = (1 - cos A) / (sin A)
cot 1 / 2 A = 1 / (tan 1 / 2 A) = (sin A) / 1 - cos A)
Pembahasan cot 22,5° ⬇️⬇️
= (sin 45°) / (1 - cos 45°)
= 1/2 √2 / (1 - 1/2 √2)
= 1/2 √2 / [1/2 (2 - √2)]
= 1 + √2 ✔️
Semoga bermanfaat.... - Prisco -
2. Jawaban ravhinzy
rumus trigonometri cot 1/2a = (1 + cos a)/ sin a
cot 22,5 = cot 1/2. 45
berarti a= 45°
cot 22,5=( 1 + cos 45)/sin45
= ( 1 + √2/2)/ √2/2
= ( 1 + √2/2) . 2/√2
= 2/√2 + 1
= √2 + 1
semoga mmbantu