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Let n be a positive integer such that si...

Let n be a positive integer such that `sin(pi/2n) + cos(pi/2n) = sqrt(n)/2`

A

`6lenle8`

B

`4lenle8`

C

`4lenle8`

D

`4lenlt8`

Text Solution

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B
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OBJECTIVE RD SHARMA-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^2-2sqrt5 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 is equal...

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  6. If cos(theta+phi)= mcos(theta-phi), then prove that tan theta=(1-m)/(1...

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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 sin(pi/2n) + cos(pi/2n) = sqrt(n...

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

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

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  11. tan alpha+2tan2alpha+4tan4alpha+8cot8alpha is equal to

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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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