Question

prove that(1+cotthita _cosecthita)(1+tantheta+sectheta)=2

Answer 1

Expanding the same we get 1 + tanθ + secθ+ cotθ + tanθcotθ + secθcotθ - cscθ - cscθtanθ - cscθsecθ  1 + sinθ/cosθ + 1/cosθ + cosθ/sinθ + tanθ * 1/tanθ + 1/sinθ - 1/sinθ - sinθ/cosθ - 1/sinθ * 1/cosθ  1 + 1/sinθcosθ + 1/cosθ + 1 - 1/cosθ - 1/sinθcosθ  =2