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Prove that cos ""(pi)/(9) cos ""( 2pi)/(...

Prove that `cos ""(pi)/(9) cos ""( 2pi)/(9) cos "" (3pi)/(9) cos ""(4pi)/(9) = (1)/(2 ^(4)).`

A

`1/8`

B

`1/16`

C

`1/64`

D

`1/4`

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. Find the value of cos(2pi)/7+cos(4pi)/7+cos(6pi)/7

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  2. The value of cos""(pi)/(9)cos""(2pi)/(9)cos""(3pi)/(9), is

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  3. Prove that cos ""(pi)/(9) cos ""( 2pi)/(9) cos "" (3pi)/(9) cos ""(4pi...

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  4. The vlaue of cosec^(2)""(pi)/(7)+cosec^(2)""(2pi)/(7)+cosec^(2)""(3pi)...

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  5. sin1 2^(@)sin4 8^(@)sin5 4^(@)=

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  6. the value of sin(pi/7)+sin((2pi)/7)+sin((3pi)/7) is

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  7. tan^6pi/9-33tan^4pi/9+27tan^2pi/9 is equal to (a) 0 (b) sqrt(3) (c)...

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  8. (sin^2 3A)/(sin^2A)-(cos^2 3A)/(cos^2A)=

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  9. If sinA=(336)/(625)where450^(@)ltAlt540^(@), then sin""(A)/(4)=

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  10. If y=(tanx)/(tan3x), then

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  11. The value of cot^(2)""(pi)/(7)+cot^(2)""(2pi)/(7)+cot^(2)""(3pi)/(7), ...

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  12. The value of sin""(pi)/(7)+sin""(2pi)/(7)+sin""(3pi)/(7), is

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  13. Prove that sin. (2pi)/(7)+sin.(4pi)/(7)+sin. (8pi)/(7)=(sqrt(7))/(2).

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  14. cos""(2pi)/(15)cos""(4pi)/(15)cos""(8pi)/(15)cos""(16pi)/(15)=(1)/(16)

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  15. If sinA+cosA=m an sin^(3)A+cos^(3)A=n, then

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  16. If cosA+cosB=m and sinA+sinB=n then sin(A+B)=

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

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

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

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

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