Without using trigonometric tables, evaluate each of the following: `(sec^2 54^0-cot^2 36^0)/(cos e c^2 57^0-tan^2 33^0)+2sin^2 38^0sec^2 52^0-sin^2 45^0`

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

Without using trigonometric tables, evaluate the following: (sec37^0)/(cos e c53^0)+2cot15^0cot25^0cot45^0cot75^0cot65^0(sin^2 18^0+sin^2 72^0)

Without using trigonometric tables, evaluate each of the following : (i) sin^2 65^@+sin^2 25^@ (ii) cos^2 17^@- sin^2 73^@ (iii) cosec ^2 67^@-tan^223^@ (iv) sec^2 36^@-cot ^2 54^@ .

Without using trigonometric tables, evaluate each of the following: (-tanthetacot(90^0-theta)+secthetacos e c(90^0-theta)+sin^2 35^0+sin^2 55^0)/(tan10^0tan20^0tan30^0tan70^0tan80^0)

Without using trigonometric tables,evaluate each of the following: (sec39^(0))/(cos ec51^(0))+(2)/(sqrt(3))tan17^(0)tan38^(@)tan60^(@)tan52^(@)tan73^(@)-3(sin^(2)31^(0)+sin^(2)59^(@))

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: (sin^(2)20^(@)+sin^(2)70^(@))/(cos^(2)20^(0)+cos^(2)70^(@))+(sin(90^(@)-theta)sin theta)/(tan theta)+(cos(90^(@)-theta)cos theta)/(cot theta)+cos(40^(0)+theta)-sin(50^(@)-theta)+(cos^(2)40^(0)+cos^(2)50^(@))/(sin^(2)40^(0)+sin^(2)50^(@))

Without using trigonometric table,evaluate the following: (cos ec^(2)(90-theta)-tan^(2)theta)/(4(cos^(2)48^(@)+cos^(2)42^(@)))-(2tan^(2)30^(@)sec^(2)52^(@)sin^(2)38^(@))/(cos ec^(2)70^(@)-tan^(2)20^(@))

Evaluate (sec^2""54^@-cot^2""36^@)/(cosec^2""57^@-tan^2""33^@)+2sin^2""38sec^2""52^@-sin^2""45^@+2/sqrt3tan17^@tan60^@tan73^@

Without using trigonometric tables, evaluate : (i) cos 48^@-sin42^@ (ii) cosec31^@-sec59^@ (iii) cot 34^@-tan56^@ (iv) cos^2 13^@-sin^2 77^@