" (iii) "2sin30^(@)cos30^(@)=sin60^(@)

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^(@)

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

cos 60^(@) sin 30^(@) +cos 30^(@) sin 60^(@)=

co60^(@)sin30^(@)+cos30^(@)sin60^(@) =___.

Show that (i) cos60^(@)*cos30^(@)-sin60^(@)*sin30^(@)=cos90^(@) (ii) cos60^(@)=1-2sin^(2)30^(@)=2cos^(2)30^(@)-1 (iii) (tan60^(@)-tan30^(@))/(1+tan60^(@)*tan30^(@))=tan30^(@)

Evaluate : (i) sin60^(@)*cos30^(@)-cos60^(@)*sin30^(@) (ii) tan30^(@)*cosec60^(@)+tan60^(@)*sec30^(@) .

Values of trigonometric ratios at 0:30:45:60 and 90.(i)sin30^(@)*cos60^(@)+sin60^(0)*cos30^(@)

sin60^(@).cos30^(@)+cos30^(@)*sin60^(@)

Evaluate it [[sin30 ^ (@), cos30 ^ (@) - sin60 ^ (@), cos60 ^ (@)]]