Prove that cos36∘cos72∘cos108∘cos144∘=1/16. ... | Filo
Prove that cos36∘cos72∘cos108∘cos144∘=1/1…
Apr 22, 2022
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The value of cos 12∘cos 24∘cos 36∘cos 48∘cos 60∘cos 72∘cos 84∘ is
The value of cos 12∘cos 24∘cos 36∘cos 48∘cos 60∘cos 72∘cos 84∘ is
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Question 1 (i) Class 10 - Evaluate sin 18° / cos 72° [with Video]
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teachoo.com
(a) Use your calculator to evaluate the expression cos72^∘ cos144^∘ . Then follow steps (b) through (d) to prove that cos72^∘ cos144^∘=-1 / 2 (b) Use the observation cos72^∘ cos144^∘=cos(108^∘-36^∘) cos(108^∘ 36^∘) and the addition formulas for cosine to show that cos72^∘ cos144^∘=2 cos108^∘ cos36^∘ (c) Use the reference-angle concept to explain why cos108^∘ cos36^∘=cos72^∘ cos144^∘ (d) Use parts (b) and (c) and the identity in Exercise 58(a) to conclude that cos72^∘ cos144^∘=-1 / 2, as required
(a) Use your calculator to evaluate the expression cos72^∘ cos144^∘ …
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