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

Prove (1-sin60^(@))/(cos60^(@))=(1-tan30^(@))/(1+tan30^(@))

(log)_(sin30^(@)cos60^(@))=1

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

((tan60^(@)+1)/(tan60^(@)-1))^(2)=(1+cos30^(@))/(1-cos30^(@))

((cos30^(@)+sin60^(@))/(1+cos60^(@)+sin30^(@)))=(sqrt(3))/(2)

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

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

tan60^(@)cos60^(@)+cot60^(@)sin60^(@)=_____ .

Prove that sqrt((1+cos30^(@))/(1-cos30^(@)))=sec 60^(@)+tan60^(@) .

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^(@)