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tan^6pi/9-33tan^4pi/9+27tan^2pi/9 is equ...

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

A

0

B

`sqrt3`

C

3

D

9

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  2. the value of sin(pi/7)+sin((2pi)/7)+sin((3pi)/7) is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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