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If K=sin(pi/(18))sin((5pi)/(18))sin((7pi...

If `K=sin(pi/(18))sin((5pi)/(18))sin((7pi)/(18)),` then the numerical value of `K` is_____

A

`1//2`

B

`1//4`

C

`1//8`

D

`1//16`

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  2. If cos(theta-alpha)=a and cos(theta-beta)=b then the value of sin^(2)(...

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

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  4. Show that tan1^0tan2^0tan89^0=1

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

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

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

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

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

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

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  15. The value of tan 5 theta is

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

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  17. If abs(cos theta{sin theta+sqrt(sin^2theta+sin^2alpha)})lek, then the ...

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  18. The value of sin10^@+sin20^@+sin30^@...+sin360^@ is equal to -

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  19. Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(...

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  20. If A+B=(pi)/(4),then (tanA+1)(tanB+1) is equal to

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