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sin^(2)""(2pi)/(3)+ cos^(2)""(5pi)/6-tan...

`sin^(2)""(2pi)/(3)+ cos^(2)""(5pi)/6-tan^(2)""(3pi)/4=`

A

`0`

B

`1//2`

C

`1//5`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
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Evaluate (ii) sin^(2). (2pi)/(3) + cos^(2). (5pi)/(6) - tan^(2). (3 pi)/(4)

cos^(2)""(3pi)/(5)+cos^(2)""(4pi)/(5)=

sin ^(2) " (pi)/(6) + cos ^(2) "" (pi)/(3) - tan ^(2) " (pi)/(4) =- 1/2

cos^(2)""(pi)/(5)+ sin^(2)""(4pi)/(5)=

cot ^(2) "" (pi)/(6) + cosec ""(5pi)/(6) + 3 tan ^(2) ""(pi)/(6) =6

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
  1. sin 120^(@) cos 150^(@)- cos 240^(@) sin 330^(@) =

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  2. cos^(2)""(pi)/(5)+ sin^(2)""(4pi)/(5)=

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  3. sin^(2)""(2pi)/(3)+ cos^(2)""(5pi)/6-tan^(2)""(3pi)/4=

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  4. cos^(2)1^(@)+ cos^(2)2^(@)+cos^(2)3^(@)+....+cos^(2)90^(@)=

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  5. cos^(2)(80^(@) + theta ) + sin^(2)(100^(@)- theta )=

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  6. sum(k=1)^3 cos^(2)((2k-1)(pi)/(12))=

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  7. tan(45^(@)+ theta )*tan(45^(@)-theta)=

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  8. cos A + sin(270^(@) +A)-sin(270^(@)-A)+ cos(180^(@)-A)=

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  9. "cosec"(270^(@)-A)+"cosec"(90^(@)-A)+sec(90^(@)-A)+sec(270^(@)-A)=

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  10. If "cosec"(pi//2+ theta )+x cos theta cot(pi//2-theta )=sin(pi//2+ the...

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  11. In Delta ABC, cos""((3A+2B+C)/(2))+ cos""((A-C)/(2))=

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  12. In Delta ABC, cos""((B+2C+3A)/(2))+ cos""((A-B)/(2))=

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  13. In DeltaABC , tan""((A+B)/(2))*tan""(C)/(2)=

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  14. If A,B,C,D are the angles of a cyclic quadrilateral then sinA+sinB=

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

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

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

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

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

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

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