Evaluate the following expressions : `4cot ^2 45 ^∘−sec ^2 60 ^∘+sin ^2 60 ^∘+cos^ 2 90 ^∘`

Evaluate the following expressions: (i) 4cot^2 45o-sec^2 60^o + sin^2 60^o + cos^2 90^o . (ii) 3cos^2 30^o + sec^2 30^o + 2cos0^o + 3sin90^o - tan^2 60^o

Evaluate the following expressions: (i) 2sin^2 30^otan60^o-3cos^2 60^osec^2 30^o (ii) "c o s e c"^2 30^osin^2 45^o-sec^2 60^o (iii) tan60^ocos e c^2 45^o + sec^2 60^otan45^o

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) 2sin^2 30o-3cos^2 45o+tan^2 60o (ii) sin^2 30ocos^2 45o+4tan^2 30o+1/2sin^2 90o-2cos^2 90o+1/(24)cos^2 0o .

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 each of the following: (sin^2 45^o + cos^2 45^o)/(tan^2 60^o) (ii) (sin30^o-sin90^o + 2cos0^o)/(tan30^otan60^o)

Evaluate the following: (tan^2 60o+4cos^2 45o+3sec^2 30o+5cos^2 90o)/(cos e c\ 30o+sec60o-cot^2 30o)

Evaluate the following: cos^2 30o+cos^2 45o+cos^2 60o+cos^2 90o (ii) tan^2 30o+tan^2 60o+tan^2 45o

Evaluate the following: cos e c^3 30ocos60otan^3 45osin^2 90osec^2 45ocot30o (ii) cot^2 30o-2cos^2 60o-3/4sec^2 45o-4sec^2 30o

Evaluate the following: (i) cos60ocos45o-sin60osin45o (ii) sin^2 30o+sin^2 45o+sin^2 60o+sin^2 90o