" (in) "2tan^(2)45^(@)+cos^(2)90^(@)-sin^(2)60^(@)

(4(sin^(2)60^(@)+cos^(2)60^(@)))/(tan^(2)45^(@)-cos^(2)90^(@)+sin90^(@))

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^(@)

Evaluate: sin^(2)60^(@) cos^(2)45^(@) cos^(2)60^(@)" cosec"^(2)90^(@)

Evaluate : ( 2 ( sin^2( 60^(@ )) + cos^2( 60^(@ )))) / ( tan^2( 45^(@ )) - cos^2( 90^(@ )) + sin( 90^(@ ))

Evaluate the following (i) sin 60^@ cos30^@ + sin 30^@ cos 60^@ (ii) 2tan^2 45^@ + cos^2 30^@ - sin^2 60^@ (iii) (cos45^@)/(sec30^@ + c o s e c 30^@) (iv) (sin30^@ + tan45^@ - c o s e c 60^@ )/(sec30^@ + cos60^@ +cot45^@) (v) (5cos^2 60^@ + 4sec^2 30^@ - tan^2 45^@ )/ (sin^2 30^@ + cos^2 30^@ )

Evaluate the following (i) sin 60^@ cos30^@ + sin 30^@ cos 60^@ (ii) 2tan^2 45^@ + cos^2 30^@ - sin^2 60^@ (iii) (cos45^@)/(sec30^@ + c o s e c 30^@) (iv) (sin30^@ + tan45^@ - c o s e c 60^@ )/(sec30^@ + cos60^@ +cot45^@) (v) (5cos^2 60^@ + 4sec^2 30^@ - tan^2 45^@ )/ (sin^2 30^@ + cos^2 30^@ )

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

If tan^(2) 45^(@)-cos^(2) 60^(@)=x sin 45^(@) cos45^(@) tan 60^(@) , then find the value of x.

2tan ^ (2) 45 ^ (@) + cos ^ (2) 30 ^ (@) - sin ^ (2) 60 ^ (@)

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