Without using a trigonometric table calculate:
`4(sin32^(@))/(cos58^(@))+5(tan48^(@))/(cot42^(@))-8(sec72^(@))/(cosec18^(@))`

Without using trigonometric tables , evaluate : (i) (sin40^(@))/(cos50^(@))+(3tan50^(@))/(cot40^(@)) (ii) (sec37^(@))/("cosec "53^(@))-(tan20^(@))/(cot70^(@)) (iii) (cos74^(@))/(sin16^(@))+(sin12^(@))/(cos78^(@))-sin18^(@)sec72^(@) (iv) sin35^(@)sec55^(@)+(4sec32^(@))/("cosec "58^(@))

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

Without using trigonometric tables evaluate. ("sin"65^(@))/("cos"25^(@))+("cos"32^(@))/("sin"58^(@))-"sin"28^(@)."sec"62^(@)+"cosec"^(2)30^(@)

Without using trigonometric tables , evaluate : (i) (sin11^(@))/(cos79^(@)) (ii) (sec15^(@))/("cosec"75^(@)) (iii) (tan54^(@))/(cot36^(@)) (iv) (cos68^(@))/(sin22^(@)) (v) ("cosec"24^(@))/(sec66^(@)) (vi) (cot18^(@))/(tan72^(@))

Evaluate : 3(sin 72^(@))/(cos 18^(@))-(sec 32^(@))/(cosec 58^(@))

Without using trigonometric tables , prove that : (i) sin50^(@)-cos40^(@)=0 (ii) tan36^(@)-cot54^(@)=0 (iii) sec25^(@)-"cosec "65^(@)=0 (iv) sin^(2)32^(@)+sin^(2)58^(@)=1 (v) "cosec"^(2)39^(@)-tan^(2)51^(@)=1 (vi) sec^(2)10^(@)-cot^(2)80^(@)=1

Without using trigonometric tables, evaluate. "sin"^(2)34^(@)+"sin"^(2)56^(@)+2" tan"18^(@)"tan"72^(@)-"cot"^(2)30^(@)

Evaluate : (sec 42^(@))/( cosec 48^(@)) + ( 3 tan 50 ^(@))/( cot 40 ^(@)) - ( 2 cos 43 ^(@))/( sin 47^(@))

Find the value of : (tan45^(@))/(cosec30^(@))+(sec60^(@))/(cot45^(@))-(5sin90^(@))/(2cos0^(@))

Evaluate without using trigonometric tables. 2(("tan" 35^(@))/("cot" 55^(@)))^(2)+(("cot" 55^(@))/("tan" 35^(@)))^(2)-3(("sec" 40^(@))/("cosec" 50^(@)))