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( sin (-660^(@)) tan (1050^(@)) sec (-42...

`( sin (-660^(@)) tan (1050^(@)) sec (-420^(@)))/(cos(225^(@)) "cosec"(315^(@)) cos (510^(@)))=`

A

`sqrt(3)//4`

B

`sqrt(3)//2`

C

`2//sqrt(3)`

D

`4//sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
C
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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 quadrilateral then tan""((A+B)/(4))=

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. If cot theta=-3//4 and theta is not in the second quadrant , then ...

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  20. If tan theta = -4//3 and theta is not in the fourth quadrant , then ...

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