sin 18° Value Derivation Explained Clearly (Step by Step) #mathshorts#science#school
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sin 18° Value Derivation Explained Clearly (Step by Step) #mathshort…
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SOLVED: Calculation of sin 18^∘, cos 18^∘, and sin 3^∘(a) Prove that cos 3 θ=4 cos ^3θ-3 cosθ(b) Supply a reason for each statement. (i) sin 36^∘=cos 54^∘ (ii) 2 sin 18^∘cos 18^∘=4 cos ^3 18^∘-3 cos 18^∘ (iii) 2 sin 18^∘=4 cos ^2 18^∘-3(c) In equation (iii), replace cos ^2 18^∘ by 1-sin ^2 18^∘ and then solve the resulting equation for sin 18^∘ . Thus show that sin 18i=(1)/(4)(√(5)-1)(d) Show that cos 18i=(1)/(4)√(10 2 √(5))(e) Show that sin 3^∘ is equal to (1)/(16)[(√(5)-1)(√(6) √(2))-2(√(3)-1)
SOLVED: Calculation of sin 18^∘, cos 18^∘, and sin 3^∘(a) Prove tha…
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