Question
Find the value of 16cos(2π/15)cos(4π/15)cos(8π/15)cos(14π/5).
Joshi sir comment
I think the last term would be cos(14π/15)
We know that cos(14π/15) = -cos(π/15)
so 16cos(2π/15)cos(4π/15)cos(8π/15)cos(14π/15)
= -16cos(π/15)cos(2π/15)cos(4π/15)cos(8π/15)
= -[8/sin(π/15)]2sin(π/15)cos(π/15)cos(2π/15)cos(4π/15)cos(8π/15)
= -[8/sin(π/15)]sin(2π/15)cos(2π/15)cos(4π/15)cos(8π/15)
take the similar steps