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

Prove that : (i) ((tan 60^(@)+1)/(tan 60^(@) - 1))^(2) = (1 + cos 30^(@))/(1 - cos 30^(@)) (ii) 3 "cosec"^(2) 60^(@) - 2 cot^(2) 30^(@) + sec^(2) 45^(@) = 0

Evaluate : (cot40^(@))/(tan50^(@))-(1)/(2)((cos30^(@))/(sin60^(@)))

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

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

(sin30^(@))/(cos45^(@))+(cot45^(@))/(sec60^(@))-(sin60^(@))/(tan45^(@))+(cos30^(@))/(sin90^(@))=

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

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

(tan60^(@)+sec60^(@)-1)/(tan60^(@)-sec60^(@)+1) A) sec30^(@)+2cos60^(@) B) csc30^(@)+2sin60^(@) C) cot30^(@)+2tan60^(@) D)none of these

Choose the correct option and justify your choice :(i)(2tan30^(@))/(1+tan^(2)30^(@))(a)sin60^(@)(b)cos60^(@)(c)tan60^(@)(d)sin30^(@)

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