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Find the value of cos""(pi)/(11)+cos""(3...

Find the value of `cos""(pi)/(11)+cos""(3pi)/(11)+cos""(5pi)/(11)+cos""(7pi)/(11)+cos""(9pi)/(11)`.

A

0

B

`-1//2`

C

`1//2`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If cosA+cosB=m and sinA+sinB=n then sin(A+B)=

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  2. If 0ltA lt(pi)/(6) and sinA+cosA=(sqrt7)/(2),"then" tan""(A)/(2)=

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  3. Find the value of cos""(pi)/(11)+cos""(3pi)/(11)+cos""(5pi)/(11)+cos""...

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  4. If n=pi/(4alpha), then tan alpha tan 2alpha tan 3 alpha ... tan(2n-1)a...

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  5. The value of tan9^@-tan2 7^@-tan6 3^@+tan8 1^@ is equal to

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  6. For x in R, tanx+1/2tan""(x)/(2)+1/((2^2))tan""(x)/(2^(2))+...+(1)/(...

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  7. If (tan3A)/(tanA)=k, then (sin3A)/(sinA)=

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  8. If y=(sec^(2)theta-tantheta)/(sec^(2)theta+tantheta)'then

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  9. If cosA=tanB, cos B=tanC, cosC=tanA, then sin A is equal to

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  10. If tanalpha is equal to the integral solution of the inequality 4x^2-1...

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  11. If x/(costheta)=y/(cos(theta-(2pi)/3))=z/(cos(theta+(2pi)/3)) 1 (b) ...

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  12. If cosA=3/4, then 32 sin (A/2) sin ((5A) /2)= ------------- ...

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  13. Find the minimum value of 9tan^2theta+4cot^2theta

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  14. If x(1),x(2),x(3),...,x(n) are in A.P. whose common difference is alph...

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  15. If asin^2x+bcos^2x=c,bsin^2y+acos^2y=d and atanx=btany then a^2/b^2=.....

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  16. If a(r+1)=sqrt(1/2 ( 1+a(r))), the prove that cos((sqrt(1-a(0)^(2))...

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  17. If alpha,beta,gamma,delta are the smallest positive angles in ascendin...

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  18. The value of cos y cos (pi/2-x)-cos (pi/2 - y) cos x + sin y cos (pi/2...

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  19. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

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  20. The expression cosec^(2)A cot^(2)A-sec^(2)A tan^(2)A-(cot^(2)A-tan^(...

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