cos45''cos60^(@)-sin45^(@)sin60^(@)

Evaluate : (i) sin^(2)30^(@)-2cos^(3)60^(@)+3tan^(4)45^(@) (ii) (cos0^(@)+sin45^(@)+sin30^(@))(sin90^(@)-cos45^(@)+cos60^(@))

The value of (cos 0^(@) + sin 45^(@) + sin 30^(@)) (sin 90^(@) - cos 45^(@) + cos 60^(@)) is

If xtan45^(@).cos60^(@)=sin60^(@)cot60^(@) , then x is equal to

Find the value of the following: (sin90^(@)+cos60^(@)+cos45^(@))xx(sin30^(@)+cos0^(@)-cos45^(@))

Verify each of the following : (i) sin60^(@)cos30^(@)-cos60^(@)sin30^(@)=sin30^(@) (ii) cos60^(@)cos30^(@)+sin60^(@)sin30^(@)=cos30^(@) (iii) 2sin 30^(@)cos30^(@)=sin60^(@) (iv) 2sin45^(@)cos45^(@)=sin90^(@)

Evaluate: cos 45 cos 60 - sin 45 sin 60

6cos60^(@) -sin30^(@)+sin^(2)45^@+cos^(2)45^@

Find the value of sin^(3)60^(@) cot 30^(@)-2 sec^(2) 45^(@)+3 cos60^(@) tan45^(@)-tan^(2)60^(@) .