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If the arithmetic mean of the roots of t...

If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315]` is equal to `kpi`, then the value of `k` is

A

49pi

B

50pi

C

51pi

D

100pi

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The correct Answer is:
B
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MOTION-TRIGONOMETRIC EQUATION-EXERCISE 1
  1. All solutions of the equation 2 sin theta + tan theta =0 are obtained...

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  2. The most general solution of tan theta =-1 and cos theta = 1/sqrt 2 i...

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  3. If 2cos^2(pi+x)+3 sin(pi+x) vanishes then the values of x lying in the...

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  4. If x in [0, pi/2], then the number of roots of equation sin7x + sin4x ...

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  5. (cos3theta)/(2cos2theta-1)=1/2 if (n in 1)

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  6. sin3theta=4sinthetasin2thetasin4theta in 0<=theta<=pi has

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  7. The set of values of x for which ("tan" 3x- "tan" 2x)/(1+"tan" 3 x "ta...

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  8. Find the number of solutions of sintheta + 2sin2theta + 3sin3theta + 4...

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  9. The number of solutions of |cosx|=sinx,0lexle4pi is-

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  10. No. of solution in the equation x=4sinx when in [0,2pi]

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  11. Find the number of solution of the equation 30|sinx|=x"in" 0lexle2pi

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  12. Total number of solution of the equation 3x+2tanx= (5pi)/2 "in" x in [...

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  13. The set of the solution satisfying inequality |sin x| lt 1/2 is

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  14. The set of solution satisfying inequality 2cos^2theta+sinthetale2, whe...

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  15. The set solution satisfying inequality sintheta +sqrt3costhetage1, -pi...

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  16. A triangle ABC is such that sin(2A+B)= 1/2. If A,B,C are in A.P. then ...

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  17. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

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  18. The value of 'a' for which the equation 4cosec^(2)pi(a+x)+a^(2)-4a=0 h...

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  19. If the arithmetic mean of the roots of the equation 4cos^(3)x-4cos^(2)...

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  20. The solution of |cosx|= cosx-2sinx is

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