cos 36^∘ - cos 72^∘ = | Maths Questions
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(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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