using the formula cos A = root 1+ cos2A / 2 find the value of cos 15
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Answered by
9
Answer:
(√3 + 1) ÷ 4
Step-by-step explanation:
cos A = root 1+ cos2A / 2
cos A =√ (1+ cos2A) / 2
cos 15° =√ (1+ cos 30°) / 2
cos 15° =√ (1+ √3/2) / 2 =√ (1+ 2√3/4) / 2 √ (4+ 2√3/√4 * 2
cos 15° = (√3 + 1) ÷ 4
Answered by
0
Answer:
(√3 + 1) ÷ 4
Step-by-step explanation:
cos A = root 1+ cos2A / 2
cos A =√ (1+ cos2A) / 2
cos 15° =√ (1+ cos 30°) / 2
cos 15° =√ (1+ √3/2) / 2 =√ (1+ 2√3/4) / 2 √ (4+ 2√3/√4 * 2
cos 15° = (√3 + 1) ÷ 4
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