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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

`1//16`

B

`1//64`

C

`1//128`

D

`1//32`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  2. If f(x)=cos^2theta+sec^2theta, then f(x)<1 (b) f(x)=1 2>f(x)>1 (d)...

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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/14)sin((3pi)/14)sin((5pi)/14) is

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  5. If sin(alpha+beta)=1\ a n dsin(alpha-beta)=1/2,\ w h e r e\ 0lt=,\ bet...

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  6. If cos(theta-alpha)=a and cos(theta-beta)=b then the value of sin^(2)(...

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  7. If K=sin(pi/(18))sin((5pi)/(18))sin((7pi)/(18)), then the numerical va...

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  10. If x cosalpha+y sinalpha=2a, x cos beta+y sinbeta=2aand 2sin""(alp...

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  11. If tan x =(2b)/ (a- c), y = acos^2 x + 2bsin x cos x + csin^2 x, z=as...

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  12. If alpha+beta+gamma=2pi, then show that tan.alpha/2 + tan.beta/2 + tan...

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  13. If sintheta-costhetalt0, then theta lies between

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  14. Within what limits must A/2 lies if 2sinA/2=-sqrt(1+sinA)-sqrt(1-sinA)...

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  15. If 2cos""(A)/(2)=sqrt(1+sinA)+sqrt(1-sinA), thenA/2 iles between,

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  16. Find the angle theta whose cosine is equal to its tangent.

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  17. Prove that cos((2pi)/(15))cos((4pi)/(15))cos((8pi)/(15))cos((14pi)/(15...

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  18. Prove:cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)cos((5pi)/15)co...

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  19. The value of tan 5 theta is

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  20. If costheta=cos alphacosbeta, then tan((theta+alpha)/(2))tan((theta-al...

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