सिद्ध कीजिए: `(cos 21^(@))/(sin 69^(@))+(sin 59^(@))/(cos 31^(@))=2`

(sec70^(@))/(csc20^(@))+(sin59^(@))/(cos31^(@))

(sin31^(@))/(2cos59^(@))=

(cos20^(@)35')/(sin69^(@)25') is

(cos80^(@))/(sin10^(@))+cos59^(@)cos ec31^(@)=2

(sin30^(@)17)/(cos59^(@)43)

(cos70^(@))/(sin20^(@))+(cos59^(@))/(sin31^(@))=8sin^(2)30^(@)

Evaluate the equation:- (sec 70^(@))/("cosec" 20^(@)) + (sin 59^(@))/(cos 31^(@)) .

Consider the following : 1. (cos 75^(@))/(sin 15^(@)) + (sin 12^(@))/(cos 78^(@)) - (cos 18^(@))/(sin 72^(@)) =1 2. (cos 35^(@))/(sin 55^(@)) - (sin 11^(@))/(9cos 79^(@)) + cos 28^(@) "cosec" 62^(@) =1 3. (sin 80^(@))/(cos 10^(@)) - sin 59^(@).sec 31^(@) =0 Which of the above are correct ?

Evaluate : (i) 3 cos 80^(@) "cosec 10"^(@) + 2 sin 59^(@) sec 31^(@) (ii) (cos 70^(@))/(sin 20^(@)) + (cos 59^(@))/(sin 31^(@)) - 8 sin^(2) 30^(@) (iii) "cosec" (65^(@) + A) - sec(25^(@) - A)