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^(@)`

Prove that : sin60^(@)cos30^(@)+cos60^(@).sin30^(@)=1

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

Verify that sin60^(@)=(2tan 30^(@))/(1+tan^(2)30^(@))

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

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

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^(@)

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

(tan30^(@)cos ec60^(@)+tan60^(@)sec30^(@))=?

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

(cos0^(@)+sin90^(@))xx(tan30^(@)xxtan60^(@)) is: