`((1-sin45^(@)+sin30)(1+cos45+cos60))`=`(7)/(4)`

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

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

What is the value of (1/(sin45^@)-sin45^@) (1/(cos 45^@)-cos45^@)(tan45^@+1/(tan45^@)) ?

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

Prove that sec 30^(@)tan 60^(@)+sin 45^(@)" cosec "45^(@)+cos30^(@)cot 60^(@)=(7)/(2) .

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 : (i) sin 60^(@) = 2 sin 30^(@) cos 30^(@) (ii) 4(sin^(4) 30^(@) + cos^(4) 60^(@)) - 3(cos^(2)45 - sin^(2)90^(@)) = 2

Show that : (i) (1-sin60^(@))/(cos60^(@))=(tan60^(@)-1)/(tan60^(@)+1) (ii) (cos30^(@)+sin60^(@))/(1+sin30^(@)+cos60^(@))=cos30^(@)

"(1) "sin60^(@)cos30^(@)+sin30^(@)cos60^(@)