Home
Class 11
MATHS
The general solution of the equation : s...

The general solution of the equation :
`sum_(r =1)^n cos(r^2 x) sin(r x) = 1/2` is

A

`2mpi + pi/6 , m in I`

B

`(4m + 1)/(n(n + 1)) pi/2 , m in I`

C

`(4m - 1)/(n(n + 1)) pi/2 , m in I`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

The general solution of the equation sin^(100)x-cos^(100)x=1 is

The general solution of the equation sin^(100)x-cos^(100)x=1

Find the sum sum_(r=1)^n r(r+1)(r+2)(r+3)

Find the sum sum_(r=1)^n r^n (^nC_r)/(^nC_(r-1)) .

Find the value of sum_(r=1)^(n) (r)/(1+r^(2)+r^(4))

Find the sum of sum_(r=1)^n r* (nC_r)/(nC_(r-1)

The value of sum_(r=1)^n (^nP_r)/(r!) is

General solutio of sin x+cos x=min_(a in R) {1,a^(2)-4a+6} is

If x+y=1, prove that sum_(r=0)^n .^nC_r x^r y^(n-r) = 1 .

If z_r : r=1,2,3, ,50 are the roots of the equation sum_(r=0)^(50)z^r=0 , then find the value of sum_(r=0)^(50)1/(z_r-1)

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. The set of real values of k for which x^2 - kx + sin^-1 (sin 4) gt 0 f...

    Text Solution

    |

  2. If 'alpha' satisfies the equation x^2 - x - 2 gt 0 , then which of the...

    Text Solution

    |

  3. The general solution of the equation : sum(r =1)^n cos(r^2 x) sin(r x)...

    Text Solution

    |

  4. The value of x between 0 and 2 pi which satisfy the equation sinxsqrt(...

    Text Solution

    |

  5. The solution set of inequality log(1/2) sin^-1 x gt log(1/2) cos^-1 x

    Text Solution

    |

  6. Evaluate {sin(2tan^-1 (1/3))} + {cos(tan^-1(2sqrt2))} where {.} de...

    Text Solution

    |

  7. The number of real solutions of sin e^x cdot cos e^x = 2^(x -2) + 2^(-...

    Text Solution

    |

  8. If theta in [0 , 5pi] and r in R such that 2 sin theta = r^4 - 2r^2 + ...

    Text Solution

    |

  9. The integer k for which the equation 7cosx+5sinx=2k+1 has a solution i...

    Text Solution

    |

  10. If 1/6 sin x , cos x , tan x are in G.P. then x is equal to

    Text Solution

    |

  11. The equation sin x = x^2 + x + 1 has

    Text Solution

    |

  12. In a triangle ABC, angle A is greater than angle B. If the measures of...

    Text Solution

    |

  13. If k1 le sin^-1 x + cos^-1 x + tan^-1 x le k2 then

    Text Solution

    |

  14. If sin^-1(x - x^2/2 + x^3/4 - ..... infty) + cos^-1 (x^2 - x^4/2 + x^6...

    Text Solution

    |

  15. cot^-1 (9/2) + cot^-1 (25/2) + cot^-1 (49/2) + ........ to n terms is ...

    Text Solution

    |

  16. The interval on which cos^-1 x gt sin^-1 x gt tan^-1 x is

    Text Solution

    |

  17. If (cos^2 x + 1/(cos^2 x)) (1 + tan^2 2y)(3 + sin 3z) = 4 ,then

    Text Solution

    |

  18. 2 sin^2(pi/2 cos^2 x) = 1 - cos(pi sin 2x). if

    Text Solution

    |

  19. sqrt(cos 2x) + sqrt(1 + sin 2x) = 2sqrt(sin x + cos x) if

    Text Solution

    |

  20. If tan^-1 y = 4 tan^-1 x , then y is infinite , if

    Text Solution

    |