[" Evaluate : "],[(2)/(3)cosec^(2)58^(@)-(2)/(3)cot58^(@)tan32^(@)-(5)/(3)tan13^(@)tan37^(@)tan45^(@)tan53^(@)tan77^(@)]

Prove that (2)/(3)csc^(2)58^(@)-(2)/(3)cot58^(@)tan32^(@)-(5)/(3)tan13^(@)tan37^(@)tan45^(@)tan53^(@)tan77^(@)

Without using trigonometric tables,evaluate each of the following: (2)/(3)cos ec^(2)58^(@)-(2)/(3)cot58^(@)tan32^(@)-(5)/(3)tan13^(0)tan37^(0)tan45^(@)tan53^(@)tan77^(0)

Prove that : (2)/(3)cosec^2 58^@-(2)/(3) cot 58^@tan 32^@ -(5)/(3)tan 13^@tan 37^@tan 45^@tan 53^@tan 77^@=-1 .

Without using trigonometric tables , evaluate : ((tan20^(@))/(cosec70^(@)))^(2)+((cot20^(@))/(sec70^(@)))^2+2tan 15^(@)tan37^(@)tan53^(@)tan60^(@)tan75^(@)

Without using trigonometric tables , evaluate : ((tan20^(@))/(cosec70^(@)))^(2)+((cot20^(@))/(sec70^(@)))^2+2tan 15^(@)tan37^(@)tan53^(@)tan60^(@)tan75^(@)

Without using trigonometric tables, evaluate each of the following: 2/3cosec^2 58^0-2/3cot58^0tan32^0-5/3tan13^0tan37^0tan45^0tan53^0tan77^0

(2sin68^(@))/(cos22^(@))-(2cot15^(@))/(5tan75^(@))-(3tan45^(@).tan20^(@).tan40^(@).tan50^(@).tan70^(@))/(5) is equal to

Evaluate : ( 1 ) cosec (65° +theta) -sec (25° - theta) - tan (55° + theta) + cot (35° - theta) (2) (3cos55^(@))/(7sin35^(@))-(4(cos70^(@)cosec20^(@)))/(7(tan5^(@)tan25^(@)tan45^(@)tan65^(@)tan85^(@)))

Evaluate the ((3 cos 43^(@))/(sin 47^(@)))^(2) - (cos 37^(@) "cosec" 53^(@))/(tan 5^(@) tan 25^(@) tan 45^(@) tan 65^(@) tan 85^(@))