Evaluate the following: (i) `(cot40^@)/(tan50^@)-1/2((cos35^@)/(sin55^@))` (ii) `((sin27^@)/(cos63^@))^2-((cos63^@)/(sin27^@))^2`

Evaluate the following: (i) ((sin49^@)/(cos41^@))^2+((cos41^@)/(sin49^@))^2 (ii) cos48^@-sin42^@

Evaluate the following: (i) (tan35^@)/(cot55^@)+(cot78^@)/(tan12^@)-1 (ii) (sec70^@)/(cos e c\ 20^@)+(sin59^@)/(cos31^@)

Evaluate the following: (i) ((sin35)/(cos55))^2+((cos55)/(sin35))^2-2cos60 (ii) (2cos67)/(sin23)-(tan40)/(cot50)-cos0

Evaluate : (i) (cos 55^(@))/(sin 35^(@)) + (cot 35^(@))/(tan 55^(@)) (ii) sin 42^(@) sin 48^(@) - cos 42^(@) cos 48^(@)

Without using trigonometric tables , evaluate the following : (cot(90^(@)-theta)*sin(90^(@)-theta))/(sintheta)+(cot40^(@))/(tan50^(@))-(cos^(2)20+cos^(2)70^(@))

Evaluate the following: (i) 4/(cot^2 30o)+1/(sin^2 60o)-cos^2 45o (ii) 4(sin^4 30o+cos^2 60o)-3(cos^2 45o-sin^2 90o)-sin^2 60o

Without using trigonometric tables , evaluate : (i) (sin40^(@))/(cos50^(@))+(3tan50^(@))/(cot40^(@)) (ii) (sec37^(@))/("cosec "53^(@))-(tan20^(@))/(cot70^(@)) (iii) (cos74^(@))/(sin16^(@))+(sin12^(@))/(cos78^(@))-sin18^(@)sec72^(@) (iv) sin35^(@)sec55^(@)+(4sec32^(@))/("cosec "58^(@))

Evaluate the following:(i) sin(1/2\ cos^(-1)(4/5)) (ii) sin(2\ tan^(-1)(2/3))+cos(tan^(-1)sqrt(3))

Evaluate: (cos 55^(@))/(sin 35^(@))+(cot 35^(@))/(tan 55^(@))

Evaluate : (i) cos^(2) 25^(@) - sin^(2)65^(@) - tan^(2)45^(@) (ii) ((sin 77)/(cos 13))^(2) + ((cos 77)/(sin 13))^(2) - 2 cos^(2) 45^(@)