" 8."cos60^(@)cos45^(@)-sin60^(@)sin45^(@)=(sqrt(2)-sqrt(6))/(4)

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

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

((cos30^(@)+sin60^(@))/(1+cos60^(@)+sin30^(@)))=(sqrt(3))/(2)

Prove that (cos45^(@)-cos75^(@))/(sin45^(@)+sin75^(@))=2-sqrt3

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^(@)

Prove that: (cos30^(@)+sin60^(0))/(1+cos60^(@)+sin30^(@))=(sqrt(3))/(2)

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

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

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