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If A,B,C,D are the angles of a quadrilat...

If A,B,C,D are the angles of a quadrilateral then ` tan""((A+B)/(4))=`

A

`cos""((C-D)/(4))`

B

`cot""((C-D)/(4))`

C

`cos""((C+D)/(4))`

D

`cot""((C+D)/(4))`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
  1. If A,B,C,D are the angles of a cyclic quadrilateral then sinA+sinB=

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  2. If A,B,C,D are the angles of a cyclic quadrilateral then cos A + cos...

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  3. If A,B,C,D are the angles of a quadrilateral then tan""((A+B)/(4))=

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  4. If A,B,C,D are the angles of a quadrilateral then cos""((A+B)/(2))+ ...

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  5. ( sin (-660^(@)) tan (1050^(@)) sec (-420^(@)))/(cos(225^(@)) "cosec"(...

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  6. (cos(180^(@)-A)*cot(90^@+A)*cos(-A))/(tan(180^(@)+A) tan(270^(@) +A)* ...

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  7. ( sin (15pi//9)*tan(4pi//3)*sec(-7pi//3))/(cot(-3pi//4)*cos(7pi//6)*"c...

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  8. (tan(35pi//6)*sin(-11pi//3)*sec(-7pi//3))/(cot(5pi//4)*"cosec"(7pi//4)...

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  9. sin""((pi)/2+ theta ) * cos (pi- theta ) * cot ""((3pi)/(2)+ theta ) -...

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  10. If tan 20^(@) = lambda , " then " (tan 250^@ + tan 340^(@))/(tan 200^...

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  11. If tan20^(@) = lambda then show that (tan 160^(@) -tan 110^(@))/(1+tan...

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  12. If alpha , beta are complementary angles , then sin^(2) alpha + sin...

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  13. If alpha , beta are supplementary angles , then cos^(2)alpha + sin^(...

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  14. If x= sin 1 , y=sin1^(@) then

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  15. If x=cos 1 , y= cos1^(@) then

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  16. If x=tan1 , y=tan1^(@) then

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  17. If tan theta = -4//3 " then " sin theta =

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  18. If cot theta = 15//8 and theta is not in the first quadrant then s...

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  19. If alpha , beta are complementary angles , sin alpha = 3//5 , then s...

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  20. If 180^(@) lt theta lt 270^(@) and sin theta = -5//13 then 5 cot^(...

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