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: (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 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: 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) (sin20o)/(cos70o)( ii) (cos19o)/(sin71o)

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

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: 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)

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

Evaluate the following: (i) (cot40o)/(tan50o)-1/2((cos35o)/(sin55o)) (ii) ((sin27o)/(cos63o))^2-((cos63o)/(sin27o))^2

Verify that: ( i ) cos60o=cos^(2)30o-sin^(2)30o=(1)/(2) (ii) 4(sin^(4)30o+cos^(4)30o)-3(cos^(2)45o-sin^(2)90o)=2