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Without using trigonometric tables, evaluate the following:- `2(cos58^@/sin32^@)-sqrt3((cos38^@cosec52^@)/(tan15^@tan60^@tan75^@))`

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Without using trigonometric table, evaluate the following: (sin ^(2) 25 ^(@) + sin ^(2) 65^(@))+sqret3 (tan 5 ^(@). Tan15^(@).tan30^(@).tan75^(@).tan85^(@))

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

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

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^@ .

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