[" 3.Without using trigonometric tables,prove th "],[" (i) "sin50^(@)-cos40^(@)=0]

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 , 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, prove that sec70^(@)sin 20^(@) + cos 20^(@) cosec 70^(@)=2 .

Without using trignometric tables,find sin105^@

Without using trigonometric tables, prove that : (i) sin 43^@cos47^@+cos43^@ sin 47^@=1 (ii) cos 38^@cos 52^@-sin 52^@=0 (iii) sec 50^@sin40^@+cos40^@cosec 50^@=2 (iv) sec 70 ^@sin 20^@-cos 20^@-cosec 70^@=0

Without using trignometric tables,prove the following: sin40^@-cos70^@=sqrt3cos80^@

Without using trigonometric tables,find the value of ((sin50^(@))/(cos40^(@)))+((cos ec40^(@))/(sec50^(@)))-4cos50^(@)cos ec40^(@)

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 : (i) (sin40^(@))/(cos50^(@))+(3tan50^(@))/(cot40^(@)) (ii) (sec37^(@))/("cosec "53^(@))-(tan20^(@))/(cot70^(@)) (iii) (cos74^(@))/(sin16^(@))+(sin12^(@))/(cos78^(@))-sin18^(@)sec72^(@) (iv) sin35^(@)sec55^(@)+(4sec32^(@))/("cosec "58^(@))