Prove that sinπ\5sin2π\5sin3π\5sin4π\5=5/16
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Step-by-step explanation:
Sin pi/5. sin2pi/5 . sin3pi/5. sin4pi/5 = ?
= Sin pi/5. sin2pi/5 . sin(pi - 2pi/5). sin(pi -pi/5) =
= Sin pi/5. sin2pi/5 . sin2pi/5. sinpi/5 =
= (sinpi/5)^2*(sin2pi/5)^2 = (0.587785)^2*(0.95106)^2 =
= 0.3125 ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, ANSWER
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