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

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) (cot40^@)/(tan50^@)-1/2((cos35^@)/(sin55^@)) (ii) ((sin27^@)/(cos63^@))^2-((cos63^@)/(sin27^@))^2

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

Evaluate the following: (cos0o+sin45o+sin30o)(sin90o-cos45o+cos60o) (ii) (sin30o-sin90o+2cos0o)/(tan30otan60o)

Evaluate the following: (tan45^@)/(cos e c\ 30^@)+(sec60^@)/(cot45^@)-(5sin90^@)/(2cos0^@)

Evaluate the following: (i) sin35osin55o-cos35ocos55o (ii) tan48otan23otan42otan67o (iii) sec50osin40o+cos40ocos e c\ 50o

Evaluate the following (i) sin 60^@ cos30^@ + sin 30^@ cos 60^@ (ii) 2tan^2 45^@ + cos^2 30^@ - sin^2 60^@ (iii) (cos45^@)/(sec30^@ + c o s e c 30^@) (iv) (sin30^@ + tan45^@ - c o s e c 60^@ )/(sec30^@ + cos60^@ +cot45^@) (v) (5cos^2 60^@ + 4sec^2 30^@ - tan^2 45^@ )/ (sin^2 30^@ + cos^2 30^@ )

Evaluate the following: i) cos120^(@)sin390^(@)+cos330^(@)cos150^(@) ii) sin^(2)(3pi)/(4)+cos^(2)pi/4+sec^(2)pi/3

For the principal values, evaluate each of the following: (i) tan^(-1){2cos(2sin^(-1)(1/2))} (ii) "cot"[sin^(-1){cos(tan^(-1)1)}]