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`.

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)

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

The value of (tan13^@ tan37^@ tan 45^@ tan 53^@ tan 77^@)/(2 cosec^2 60^@(cos^2 60^@-3cos 60^@+2)) is/ (tan13^@ tan37^@ tan 45^@ tan 53^@ tan 77^@)/(2 cosec^2 60^@(cos^2 60^@-3cos 60^@+2)) का मान ज्ञात करें |

Prove that : (i) (sin 70^@)/(cos 20^@)+(cosec 20^@)/(sec 70^@)-2cos 70^@cosec 20^@=0 (ii) (cos 80^@)/(sin 10^@)+cos 59^@cosec 31^@=2 (iii) (2 sin 68^@)/(cos 22^@)-(2 cot 15^@)/(5 tan 75^@)-(3tan 45^@tan 20^@tan 40^@tan 50^@tan 70^@)/(5)=1 (iv) (sin 18^@)/(cos 72^@)+sqrt(3) (tan 10^@ tan 30^@tan 40^@tan 50^@tan 80^@)=2 (v) (7cos 55^@)/(3 sin 35^@)-(4(cos 70^@cosec 20^@))/(3(tan 5^@tan 25^@tan 45^@tan 65^@tan 856^@))=1

Find the value of tan 1^@ tan 2^@ tan 3^@ ….tan 45^@ …..tan 88^@ tan 89^@

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: (cos 58^@)/(sin 32^@)+(sin 22^@)/(cos 68^@)-(cos 38^@cosec 52^@)/(tan 18^@tan 35 ^@ tan 60^@tan 72^@tan 55^@) .

Without using trigonometric tables, evaluate each of the following: (cos^2 20^0+cos^2 70^0)/(sec^2 50^0-cot^2 40^0)+2cosec^2 58^0-2cot58^0tan32^0- 4tan13^0tan37^0tan45^0tan53^0tan77^0

Without using trigonometric tables, evaluate each of the following: (cos^2 20^0+cos^2 70^0)/(sec^2 50^0-cot^2 40^0)+2cosec^2 58^0-2cot58^0tan32^0- 4tan13^0tan37^0tan45^0tan53^0tan77^0