5.sin^(2)35^(@)+sin^(2)55^(@)

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

Evaluate: sin^(2)35^(@)-cos^(2)55^(@)

The expression (1+sin22^(@)sin33^(@)sin35^(@))/(cos^(2)22^(@)+cos^(2)33^(@)+cos^(2)35^(@)) simplifies to

cos20^(@)+2sin^(2)55^(@)-sqrt(2)sin65^(@) is equal to

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^(@))

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 cos ( 35^(@) + A)cos ( 35^(@) - B) + sin ( 35^(@) +A)sin ( 35^(@) - B) is equal to (i) sin(A+ B) (ii) sin(A - B) (iii) cos (A+B) (iv) cos(A-B)

Without using Trigonometric Tables evaluate the following :- (sin^2 35^@+sin^2 55^@)/(tan10^@tan20^@tan30^@tan70^@tan80^@) .

Evaluate: sin 35^(@) cdot sin 55^(@) - cos 35^(@) cdot cos 55^(@).