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

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^(@))

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^(@)

(kcosec^(2)30^(@).sec^(2)45)/(8cos^(2)45^(@).sin^(2)60^(@))=tan^(2)60^(@)-tan^(2)30^(@) , then k = ?

2sin45^(@)cos45^(@)

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^(@)

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

Find the value of the following (i) tan 60^@ xx cos 30^@ (ii) sin 45^@ * cos 45^@ – sin^2 30^@ (iii) 2 sin 45^@* cos 45^@*tan 45^@ (iv) cos 30^@* cos 45^@ – sin 30^@* sin 45^@ (v) tan 30^@* sec 45^@ + tan 60^@* sec 30^@

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

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

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