" 2."cos45^(@)cos60^(@)-sin45^(@)sin60^(@)

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

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

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^(@)

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

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

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

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

Choose the correct answer in each of the following questions: If x tan 45^(@)cos60^(@)=sin 60^(@) cot60^(@) " then " x=?