`4sin50^(@)-sqrt(3)tan50^(@)`

sin10^(@)sin50^(@)+sin50^(@)sin250^(@)+sin250^(@)sin10^(@)=-(3)/(4)

The smallest positive value of x (in degrees) for whichcos tan x=(cos5^(@)cos20^(@)+cos35^(@)cos50^(@)-sin50^(@)sin20^(@)-sin35^(@)sin50^(@))/(sin5^(@)cos20^(@)-sin35^(@)cos50^(@)+cos5^(@)sin20^(@)-cos35^(@)sin50^(@))

The value of (2sin40^(@).sin50^(@).tan10^(@))/(cos 80^(@)) is

Find the least positive x in degree for which tan x= (cos5^(@)cos20^(@)+cos35^(@)cos50^(@)-sin5^(@)sin20^(@)-sin35^(@)sin50^(@))/(sin5^(@)cos20^(@)-sin35^(@)cos50^(@)+cos5^(@)sin20^(@)-cos35^(@)sin50^(@))

Prove that: i) sin50^(@)-sin70^(@)+sin10^(@)=0 ii) sin(60^(@)+A)+sin(60^(@)-A) = sqrt(3)cosA

tan10^(@)-tan50^(@)+tan70^(@)

sin10^(@)sin50^(@)sin60^(@)sin70^(@)=(sqrt(3))/(16)

The value of (tan70^(@)-tan20^(@))/(tan50^(@))=

tan10^(@)-tan50^(@)+tan70^(@)=?