[" 1tove that: "],[[(2)/(3)cosec^(2)58^(@)-(2)/(3)cot58^(@)tan32^(@)],[-(5)/(3)tan13^(@)tan37^(@)tan45^(@)tan53^(@)tan77^(@)=-1." [CBSE 2009] "]]

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^(@)

" If tan35^(0)+cot37^(0)+tan325^(@)=x tan53^(0)+tan127^(0) then x=

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

Prove that : tan53^(@)=tan37^(@)+2 tan16^(@) .

What is the value of ( cosec (78^(@) - theta) - sec ( 12^(@) + theta) - tan (67^(@) + theta) + cot (23^(@) - theta) )/( tan 13^(@) tan 37^(@) tan 45^(@) tan 53^(@) tan 77^(@) ) ?

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^(@)))