" i."quad cos60^(@)cos45^(@)-sin60^(@)sin45^(@)

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

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^(@)

If a sin45^(@).cos45^(@).tan60^(@)=tan^(2)45^(@)-cos60^(@) , then find the value of a .

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

If x sin 45^(@) cos 45^(@) tan60^(@)=tan^(2)45^(@) -cos60^(@) , then determine the value of x.

Choose the correct answer in each of the following questions: (cos0^(@)+sin30^(@) +sin45^(@))(sin 90^(@) + cos60^(@)-cos45^(@))=?

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

cos45^(@)cos60^(@)-sin45^(@)sin60^(@)=(sqrt(3-1))/(2sqrt(2))

cos45^(@)cos60^(@)-sin45^(@)sin60^(@)=(sqrt(3)-1)/(2sqrt(2))

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