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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

125

B

2

C

177

D

179

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The correct Answer is:
C
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MOTION-TRIGNOMETRIC RATIOS & IDENTITIES -Exercise 1
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  2. If 0 lt x lt pi and cos x + sin x = 1/2, then tan x is

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  3. If A lies in the third quadrant and 3 tan A-4 = 0, then 5 sin 2A + 3si...

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  4. For -pi/2 lt theta lt pi/2 ,(sin theta + sin 2 theta)/(1+cos theta + c...

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  5. Find the value of cos 12^(@)+cos 84^(@)+cos 156^(@)+cos 132^(@)

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  6. Prove that cos 36^(@) cos 72^(@) cos 108^(@) cos 144^(@)=1//16.

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  7. The value oif the expressin (1+cospi/10)(1+cos(3pi)/10)(1+cos(7pi)/10)...

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  8. (cos 20^(@)+8 sin 70^(@) sin 50^(@) sin 10^(@))/( sin^(2)80^(@)) is eq...

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  9. Which of the following is least ?

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  10. Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0...

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  11. Find the number of solutions of sinx=x/(10)

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  12. Number of solution of equation sin x = x^2 + x + 1 is

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  13. Prove that the least positive value of x , satisfying tanx=x+1, lies i...

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  14. If a sin^(2) x +b lies in the interval [-2,8] for every x in R then...

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  15. Find the greatest value of c such that system of equation x^(2) + y^(...

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

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  17. The value of cos""(pi)/(11)+cos""(3pi)/(11)+cos""(5pi)/(11)+cos""(7pi)...

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  18. If tan alpha +cot alpha =a then the value of tan^(4) alpha +cot^(4) al...

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  19. The number of real solutions of the equation sin(e^x)=2^x+2^(-x) is

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  20. In a right angled triangle the hypotenuse is 2sqrt(2) times the perpen...

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