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If tantheta + tan(theta + pi/3) + tan(th...

If `tantheta + tan(theta + pi/3) + tan(theta-pi/3)= Ktan3theta`, then K is equal to

A

1

B

`1//3`

C

3

D

none of these

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. If tan((alphapi)/(4))=cot((betapi)/(4)), then

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  2. The roots of the equation 4x^(2)-2sqrt(5)x+1=0 are

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  3. The radius of the circle whose are of length 15\ pi cm makes an angle ...

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  4. If (cosA)/(cosB)=n and (sinA)/(sinB)=m,then (m^(2)-n^(2))sin^(2)B=

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  5. If tantheta + tan(theta + pi/3) + tan(theta-pi/3)= Ktan3theta, then K ...

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  6. If cos(theta + phi) = m cos (theta - phi), then tan theta is equal to ...

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  7. alpha & beta are solutions of a cos theta+b sin theta=c(cosalpha != ...

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  8. Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/...

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  9. cos^(4)theta-sin^(4)theta is equal to

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  10. If tanalpha=(m)/(m+1) and tanbeta=(1)/(2m+1), then alpha+beta is equa...

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  11. Prove that: t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha

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  12. If cos theta-4sintheta=1, the sintheta+4costheta=

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  13. If A+C=2B, then (cosC-cosA)/(sinA-sinC)=

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  14. If A+B=C, then cos^(2)A+cos^(2)B+cos^(2)C-2cosAcosBcosC=

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  15. If 5cosx+12cosy=13, then the maximum value of 5sinx+12siny is (...

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  16. If x=tan15^(@),y=cosec75^(@),z=4sin18^(@)

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  17. For all values of theta,3-costheta+cos(theta+(pi)/(3)) lie in the inte...

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  18. (tan8 0^(@)-tan1 0^(@))/tan70^(@)

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  19. If sinA+sinB=sqrt3(cosB-cosA),then sin3A+sin3B=

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  20. If alpha+beta+gamma=2 theta,then cos theta + cos(theta - alpha) + cos(...

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