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Given that sum(k=1)^35 sin5k^@ = tan(m/...

Given that `sum_(k=1)^35 sin5k^@ = tan(m/n)^@` , where m and n are relatively prime positive integers that satisfy `(m/n)^@<90^@`, then m + n is equal to

A

173

B

175

C

177

D

179

Text Solution

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The correct Answer is:
C
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AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-B (Objective Type Questions One option is correct)
  1. Prove that sum(r=1)^n(1/(costheta+"cos"(2r+1)theta))=(sinntheta)/(2sin...

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  2. Find the square root of 5-12i

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  3. Given that sum(k=1)^35 sin5k^@ = tan(m/n)^@ , where m and n are relat...

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  4. For -pi/2 lt theta lt pi/2, (sintheta + sin 2theta)/(1+costheta + cos2...

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  5. If A + B + C = pi and sin(A +C/2)= ksin(C/2) , then tan(A/2).tan(B/2)...

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  6. If A+B+C=pi, and cosA=cosB*cosC then tanB*tanC has the value equal to ...

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  7. If sqrt3 sectheta+2=0 , then principal value of theta may be

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  8. The number of solutions of the equation 2 tan^2theta-7sec theta-2 = 0 ...

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  9. The general solution of the equation tanx+ tan2x + tanx.tan2x= 1 is

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  10. If angles A and B satisfy (1+tanA)(1+tanB)=2, then the value of A +B i...

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  11. The number of solution of the equation tan3x-tan2x-tan3x.tan2x = 1 in ...

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  12. If x in (0, 1), then greatest root of the equation sin2pix=sqrt2cospix...

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  13. The number of solutions of equations 3cos2theta+5costheta =1 in [0,2pi...

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  14. The general solution of the equations tantheta=-1 and costheta=1/sqrt(...

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  15. The number of the solutions of the equation 3sinx + 4cosx-x^2-16 = 0 i...

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  16. solve sin^4x=1+tan^8x

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  17. If theta in (0, 2pi) and 2sin^2theta - 5sintheta + 2 > 0, then the ran...

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  18. If theta in (0, 2pi) and 2sin^2theta - 5sintheta + 2 > 0, then the ran...

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  19. The general solution of the equation tan2theta tan3theta=1 is

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  20. If m, n in N( n&gt; m), then number of solutions of the equation n|sin...

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