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The value of sinpi/(14)sin(3pi)/(14)sin(...

The value of `sinpi/(14)sin(3pi)/(14)sin(5pi)/(14)sin(7pi)/(14)sin(9pi)/(14)sin(11pi)/(14)sin(13pi)/(14)` is equal to___________

A

`sin (7pi)/18 + sin(4pi)/9`

B

1

C

`cos pi/6 + cos (3pi)/7`

D

`cos pi/9 + cos(3pi)/7`

Text Solution

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The correct Answer is:
A
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AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Assignment section-A (Objective Type Questions (One option is correct))
  1. Find the value of cos 12^(@)+cos 84^(@)+cos 156^(@)+cos 132^(@)

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  2. The value of sin 50^(0)-sin 70^0+sin 10^0 is equal to a. adot\ 0 b. 1 ...

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  3. The value of sinpi/(14)sin(3pi)/(14)sin(5pi)/(14)sin(7pi)/(14)sin(9pi)...

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  4. The value of sin""(pi)/(10)sin""(13pi)/(10) is

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  5. In a triangleABC, if sinA - cosB = cos C, then the measured of angleB ...

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  6. The value of "cos"1^(@)."cos"2^(@)."cos"3^(@)......."cos"179^(@) is

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  7. Prove that: 2cospi/(13)cos(9pi)/(13)+cos(3pi)/(13)+cos(5pi)/(13)=0

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  8. If sintheta +costheta =1, then the value of sin2theta is equal to

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  9. If "tan"A=1/(2),"tan"B=1/(3), then "tan"(2A+B) is equal to

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  10. The minute hand of a watch is 3 cm long. How far does its tip move in ...

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  11. If sintheta=(-4)/(5) and theta lies in third quadrant, then the value...

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  12. The value of tan75^(@) =

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  13. If omega is a non-real cube root of unity and n is not a multiple o...

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  14. The value of 2sinA cos^(3)A -2sin^(3)A cosA is

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  15. If tanalpha=(sqrt(3)+1)/(sqrt(3)-1), then the expression cos 2alpha +(...

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  16. If sin^2 theta=1/4 , then the value of theta is

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  17. The solution of the equation cos^2theta+sintheta+1=0 lies in the inter...

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  18. The general solution of tan3x=1 is

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  19. If sin theta =sqrt(3) cos theta, -pi lt theta lt 0, then the value of ...

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  20. Number of solution of the equation tanx+secx=2cosx lying in the interv...

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