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Verify that: (i) cos60^@=cos^2 30^@-si...

Verify that: (i) `cos60^@=cos^2 30^@-sin^2 30^@=1/2` (ii) `4(sin^4 30^@+cos^4 60^@)-3(cos^2 45^@-sin^2 90^@)=2`

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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

What is the value of 4(sin^4 30^@ + cos^4 60^@) -3(cos^2 45^@ - sin^2 90^@) ?

Prove that : (i) sin 60^(@) = 2 sin 30^(@) cos 30^(@) (ii) 4(sin^(4) 30^(@) + cos^(4) 60^(@)) - 3(cos^(2)45 - sin^(2)90^(@)) = 2

Prove that cos 60^(@)=cos^(2)30^(@)-sin^(2)30^(@) .

Prove that : 4(sin^(4)30^(@)+cos^(4)60^(@))-3(cos^(2)45^(@)-sin^(2)90^(@))=2

Prove that : 4(sin^(4)30^(@)+cos^(4)60^(@))-3(cos^(2)45^(@)-sin^(2)90^(@))=2

cos^(2)30^@-sin^(2)30^@=cos60^@

Verify that : sin 60^@ = 2 sin 30^@ cos 30^@

Evaluate : (5 cos^(2)60^@+4cos^(2)30^@ - tan^(2)45^@)/(sin^(2) 30^@+cos^2 60^@)

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