Home
Class 11
MATHS
Let the sum of all x in the interval [0,...

Let the sum of all x in the interval `[0, 2pi]` such that `3 cot^(2) x+8 cot x+3=0`.

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 value of 'x' in the interval [0 , 3pi] satisfying the equation 2 sin^2 x + 5 sin x - 3 = 0 is

The number of values of x in the interval [0,5pi] satisfying the equation 3 sin^2 x-7 sin x+2=0 is :

The set of all x in the interval [0,pi] for which 2sin^2x-3sinx+1geq0 is______

int (x+ cot x)cot^(2) x dx

If tan^(2)z= tan (x+y) tan (x-y) , show that cot^(2)y+ cot (z+x) cot (z-x)=0

In which of the following intervals the inequality, sinx < cos x < tanx < cot x can hold good ? (a) ((7pi)/4,2pi) (b) ((3pi)/4,pi) (c) ((5pi)/4,(3pi)/2) (d) (0,(pi)/4)

The maximum value of [sin (x+(pi)/(6))+cos (x+(pi)/(6))] in the interval [0, (pi)/(2)] is attained at x=

cot x cot 2x - cot 2x cot 3x - cot 3x cot x=1

The sum of all roots of sin(pi(log)_3(1/x))=0 in (0,2pi) is

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let f(x)=a bsinx+bsqrt(1-a^2)cosx+c , where |a|<<1,b>>0 then (a) ma...

    Text Solution

    |

  2. A variable triangle A B C is circumscribed about a fixed circle of uni...

    Text Solution

    |

  3. Let the sum of all x in the interval [0, 2pi] such that 3 cot^(2) x+8 ...

    Text Solution

    |

  4. Let P(k)=(1+cos(pi/(4k))) (1+cos(((2k-1)pi)/(4k))) (1+cos(((2k+1)pi)/...

    Text Solution

    |

  5. The sides of a triangle are x^2+x+1,2x+1,a n dx^2-1 . Prove that the g...

    Text Solution

    |

  6. Find the values of theta in the interval (-pi/2,pi/2) satisfying the e...

    Text Solution

    |

  7. ABC is a triangle such that sin(2A+B)=sin(C-A)=-sin(B+2C)=1/2. If A,B...

    Text Solution

    |

  8. Let a, b and c be the three sides of a triangle, then prove that the e...

    Text Solution

    |

  9. Number of roots of the equation |sinxcosx| +sqrt(2+t a n^2x+cot^2x)=sq...

    Text Solution

    |

  10. Let f:(-1,1)vecR be such that f(cos4theta)=2/(2-sec^2theta) for thet...

    Text Solution

    |

  11. In a triangle ABC, if the sides a,b,c, are roots of x^3-11 x^2+38 x-40...

    Text Solution

    |

  12. If A=sin45^0+cos45^0a n d B=sin44^0+cos44^0, then (a)A>B (b) A=B

    Text Solution

    |

  13. If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at l...

    Text Solution

    |

  14. Let alt=blt=c be the lengths of the sides of a triangle. If a^2+b^2 &...

    Text Solution

    |

  15. Show that 4sin27^0=(5+sqrt(5))^(1/2)+(3-sqrt(5))^(1/2)

    Text Solution

    |

  16. The sum of all roots of sin(pi(log)3(1/x))=0 in (0,2pi) is

    Text Solution

    |

  17. Three parallel chords of a circle have lengths 2,3,4 units and subtend...

    Text Solution

    |

  18. Prove that cos36^0cos72^0cos108^0cos144^0=1/(16)dot

    Text Solution

    |

  19. The equation tan^4x-2sec^2x+a=0 will have at least one solution if

    Text Solution

    |

  20. A tower P Q stands at a point P within the triangular park A B C such ...

    Text Solution

    |