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teachoo.com
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Misc 1Prove that: 2cos 𝜋/13 cos 9𝜋/13 cos 3𝜋/13 cos 5𝜋/13 = 0Solving L.H.S2cos 𝜋/13 cos 9𝜋/13 cos 3𝜋/13 cos 5𝜋/13 = ("cos " 𝟏𝟎𝝅/𝟏𝟑 " cos " 𝟖𝝅/𝟏𝟑) cos 3𝜋/13 cos 5𝜋/13We know that 2 cos x cos y = cos (x y) cos (x – y)Putting x = 9𝜋/13 and y = 𝜋/13
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