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

Evaluate the following: (i) sin450sin30o+cos450cos30o (ii) sin60o cos30o+cos600sin30o

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

Evaluate the following: (i) (sin20o)/(cos70o)( ii) (cos19o)/(sin71o)

Evaluate the following: (i) 2sin^(2)30o-3cos^(2)45o+tan^(2)60o( ii) sin^(2)30o cos^(2)45o+4tan^(2)30o+(1)/(2)sin^(2)90o-2cos^(2)90o+(1)/(24)cos^(2)00

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 (iii) cos60ocos30o+sin60osin30o (iv) cos60ocos30o-sin60osin30o

Evaluate the following: cos ec^(3)30o cos60o tan^(3)45o sin^(2)90o sec^(2)45o cot30ccot^(2)30o-2cos^(2)60o-(3)/(4)sec^(2)45o-4sec^(2)30o

Evaluate the following: (tan45o)/(cos ec30o)+(sec60o)/(cot45o)-(5sin90o)/(2cos00)

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)900)-sin^(2)600

Evaluate each of the following: (sin^2 45o+cos^2 45o)/(tan^2 60o) (ii) (sin30o-sin90o+2cos0o)/(tan30otan60o)