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If A , B and C are interior angles of a triangle ABC, then show that `tan ((A+B) /(2)) =cot C//(2) `

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VGS PUBLICATION-BRILLIANT-TRIGONOMETRY-EXERCISE
  1. If tan 2A =cot (A-18^(@) ) where 2A is an acute angle , Find the val...

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  2. If tan A =cot B where A and B are acute angles prove that A+B= 90 ^(@...

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  3. If A , B and C are interior angles of a triangle ABC, then show that t...

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  4. Expression sin75^(@) +cos 65^(@) in terms of trigonometric ratios of ...

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  5. For which value of an acute angle theta ,(i) ( cos theta )/( 1-sin th...

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  6. Are these identities true only for 0^(@) le A le 90 ^(@) ? If not ,fo...

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  7. Are these identities true only for 0^(@) le A le 90 ^(@) ? If not ,fo...

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  8. If sin C =( 15)/(17) , then find cos C ,

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  9. If tan x = ( 5)/( 12), then find sec x.

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  10. If cosec theta =(25)/( 7), then find cot theta

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  11. Evaluate the following and justify your answer. (i) (sin ^(2) 15^(...

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  12. Find sin 5^(@) cos 85^(@) +cos 5^(@) sin 85^(@)

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  13. Find sec 16^(@) cosec 74^(@) -cot 74^(@) tan 16^(@)

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  14. Show that cot theta +tan theta =sec theta cosec theta

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  15. Show that tan ^(2) theta +tan ^(4) theta =sec ^(4) theta -sec ^(2) th...

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  16. Prove that sqrt( (1+costheta)/(1-costheta) )= cosectheta+cottheta.(0^@...

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  17. Evaluate the following (1+tan theta +sec theta ) ( 1+cot theta -cos...

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  18. (sin theta + cos theta)^(2) + (sin theta - cos theta)^(2)=

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  19. (sec^(2) theta -1)(cosec^(2) theta-1)=

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  20. Show that (cosec theta -cot theta )^(2) =(1-cos theta )/( 1+cos theta ...

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