`(sin60^(@)+sin30^(@))/(sin60^(@)-sin30^(@))=(tan60^(@)+tan45^(@))/(tan60^(@)-tan45^(@))`

(sin30^(@)-sin90^(@)+2cos0^(@))/(tan30^(@)tan60^(@))

(tan60^@)/(sin60^@+cos30^@)

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^(@) .

Calculate : (tan60^(@)-tan30^(@))/(1+tan60^(@) tan30^(@))+cos60^(@) cos30^(@)+sin60^(@) sin 30^(@) .

sin60^(@)*sec^(2)45^(@)-3tan30^(@).4sin60^(@)=

sin30 ^ (@) sin ^ (2) (60) ^ (@) + 3cos60 ^ (@) tan45 ^ (@) =

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

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