Home
Class 11
MATHS
Number of roots of cos^2x+(sqrt(3)+1)/2s...

Number of roots of `cos^2x+(sqrt(3)+1)/2sinx-(sqrt(3))/4-1=0` which lie in the interval `[-pi,pi]` is 2 (b) 4 (c) 6 (d) 8

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of the equation cos6x+tan^2x+cos(6x)tan^2x=1 in the interval [0,2pi] is (a) 4 (b) 5 (c) 6 (d) 7

The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a has at least one solution in the interval (0,pi/2) (a) 9 (b) 4 (c) 8 (d) 1

The value of c in Lagranges theorem for the function f(x)=logsinx in the interval [pi/6,(5pi)/6] is (a) pi/4 (b) pi/2 (c) (2pi)/3 (d) none of these

The variable x satisfying the equation |sinxcosx|+sqrt(2+tan^2+cot^2x)=sqrt(3) belongs to the interval [0,pi/3] (b) (pi/3,pi/3) (c) [(3pi)/4,pi] (d) none-existent

The number of solution of the equation |2sinx-sqrt(3)|^(2cos^(2)x-3cosx+1)=1in[0,pi] is (a) 2 (b) 3 (c) 4 (d) 5

The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^(-1)(sinx),-pilt=xlt=pi is (a) 0 (b) 1 (c) 2 (d) infinite

The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^(-1)(sinx),-pilt=xlt=pi is 0 (b) 1 (c) 2 (d) infinite

If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then the value of q is 1 (b) 1/(sqrt(2)) (c) 1/3 (d) 1/3

Solve (sqrt(5)-1)/(sinx)+(sqrt(10+2sqrt(5)))/(cosx)=8,x in (0,pi/2)

The value of cos^(-1)sqrt(2/3)-cos^(-1)((sqrt(6)+1)/(2sqrt(3))) is equal to (A) pi/3 (B) pi/4 (C) pi/2 (D) pi/6

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let A B C be a triangle with incentre at I Also, let P and Q be the fe...

    Text Solution

    |

  2. Let f(x)=log(log)(1/3)((log)7(sinx+a))) be defined for every real valu...

    Text Solution

    |

  3. Number of roots of cos^2x+(sqrt(3)+1)/2sinx-(sqrt(3))/4-1=0 which lie ...

    Text Solution

    |

  4. In A B C , on the side B C ,D and E are two points such that B D=D E=...

    Text Solution

    |

  5. Column I Column II In A B C , if cos24+cos2B+cos2C=-1 then we can ...

    Text Solution

    |

  6. If sintheta1+sintheta2+sintheta3=3, then costheta1+costheta2+costheta3...

    Text Solution

    |

  7. Number of integral values of a for which the equation cos^2x-sinx+a=0 ...

    Text Solution

    |

  8. It cos(alpha+beta)=4/5,sin(alpha-beta)=5/(13)and alpha,beta lie betwee...

    Text Solution

    |

  9. A circle of radius 4cm is inscribed in A B C , which touches the side...

    Text Solution

    |

  10. If sin^2theta=(x^2+y^2+1)/(2x) , then x must be -3 (b) -2 (c) 1...

    Text Solution

    |

  11. If cos4x=a0+a1cos^2x+a^2cos^4x is true for all values of x in R , the...

    Text Solution

    |

  12. If A B C ,sinC+cosC+sin(2B+C)-cos(2B+C)=2sqrt(2.) Prove that A B C ...

    Text Solution

    |

  13. In a triangle ABC,angleC=90^@, r and R are the inradius and circumra...

    Text Solution

    |

  14. Suppose ABCD (in order) is a quadrilateral inscribed in a circle. Whic...

    Text Solution

    |

  15. Solve sec4theta-sec2theta=2

    Text Solution

    |

  16. Prove that sum(r=1)^n(1/(costheta+"cos"(2r+1)theta))=(sinntheta)/(2sin...

    Text Solution

    |

  17. ABC is an isosceles triangle inscribed in a circle of radius rdot If A...

    Text Solution

    |

  18. Find which of the following functions is even or odd ? f(x)=x^2+|sinx|...

    Text Solution

    |

  19. Solve : 5cos2theta+2cos^2(theta/2)+1=0,-pi lt theta lt pi

    Text Solution

    |

  20. If x^2+y^2=x^2y^2 then find the range of (5x+12 y+7x y)/(x y) .

    Text Solution

    |