" (i) "(cos^(2)20^(@)+cos^(2)70^(@))/(sin^(2)59^(@)+sin^(2)31^(@))+sin35^(@)*sec55^(@)

Find the value of (cos^(2)20^(@)+cos^(2)70^(@))/(sin^(2)59^(@)+sin^(2)31^(@)) .

(cos70^(@))/(sin20^(@))+(cos59^(@))/(sin31^(@))=8sin^(2)30^(@)

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^(@))

(cos80^(@))/(sin10^(@))+cos59^(@)cos ec31^(@)=2

The value of (sin 20^(@)cos70^(@)+ cos20^(@)sin70^(@))/(sin23^(@)"cosec"23^(@)+cos23^(@)sec23^(@)) is _________.

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^(@))

(cos20^(@)+8sin10^(@)sin50^(@)sin70^(@))/(sin^(2)80^(@))=

sin^(2)(35^(@))+sin^(2)(55^@) is equal to

Without using trigonometric tables,evaluate each of the following: (sin^(2)20^(@)+sin^(2)70^(@))/(cos^(2)20^(0)+cos^(2)70^(@))+(sin(90^(@)-theta)sin theta)/(tan theta)+(cos(90^(@)-theta)cos theta)/(cot theta)+cos(40^(0)+theta)-sin(50^(@)-theta)+(cos^(2)40^(0)+cos^(2)50^(@))/(sin^(2)40^(0)+sin^(2)50^(@))

(sec70^(@))/(csc20^(@))+(sin59^(@))/(cos31^(@))