" (i) "cos(30^(@)-A)-sin(A+45^(@))sin(A-45^(@))=(sin^(2)A-cos^(2)A)/(2)

2sin45^(@)cos45^(@)

sin^(2)45^(@)+cos^(2)45^(@)=

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

Prove that: i) sin(A+B)cos(A-B)-cos(A+B)sin(A-B)=sin2B ii) cos(45^(@)-A)cos(45^(@)-B)-sin(45^(@)-A)sin(45^(@)-B)=sin(A+B)

Prove that: i) sin(A+B)cos(A-B)-cos(A+B)sin(A-B)=sin2B ii) cos(45^(@)-A)cos(45^(@)-B)-sin(45^(@)-A)sin(45^(@)-B)=sin(A+B)

(2)/(3)(cos^(4)30^(@)-sin^(4)45^(@))-3(sin^(2)60^(@)-sec^(2)45^(@))+(1)/(4)cot^(2)30^(@)

Find the value of the following: (i) "sin"^(2)30^(@)+"sin"^(2)45^(@)+"sin"^(2)60^(@)+"sin"^(2)90^(@) (ii) 2"sin"^(2)30^(@)-3cos^(2)45^(@)+cos^(2)60^(@)

Q.Determine x if (x sin^(2)30^(@)cos^(2)60^(@))/(4cos^(2)45^(@))=(3sin^(2)45^(@)+2cos^(2)30^(@))/(sin^(2)90^(@)-4cos^(2)45^(@))

Evaluate : (sin^(2)30^(@)+sin^(2)45^(@)-4cot^(2)60^(@))/(2sin30^(@)cos30^(@)+(1)/(2)tan60^(@))

Evaluate : (sin^(2)30^(@)+sin^(2)45^(@)-4cot^(2)60^(@))/(2sin30^(@)cos30^(@)+(1)/(2)tan60^(@))