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

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) sin45osin30o+cos45ocos30o (ii) sin60ocos30o+cos60osin30o

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

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) 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 each of the following in the simplest form: sin60ocos30o+cos60osin30o (ii) sin60ocos45o+cos60osin45o

Evaluate each of the following: (sin60^o)/(cos^2 45^o)-cot30^o + 15cos90^o\ (ii) (5sin^2 30^o + cos^2 45^o-4tan^2 30^o)/(2sin30^ocos30^o + tan45^o)

Evaluate the following: 4(sin^4 60o+cos^4 30o)-3(tan^2 60o-tan^2 45o)+5cos^2 45o (ii) (cos e c^2 45osec^2 30o)(sin^2 30o+4cot^2 45o-sec^2 60o)