Home
Class 12
MATHS
If 0 <= x < 2pi, then the number of real...

If `0 <= x < 2pi`, then the number of real values of x, which satisfy the equation `cos x + cos 2x + cos 3x + cos 4x = 0`;

A

5

B

7

C

9

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Critical Thinking|88 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

If A = [{:( 0,0,0),(0,0,0) ,(0,1,0):}] ,then A is

If A = [{:( 0,0,0),( 1,0,0),(0,1,0):}] ,then

If A = [(3,0,0),(0,3,0),(0,0,3)] , then |A||adj A| =...

If A =[{:(2,0,0),(0,1,0),(0,0,1):}] then adj(A) =

If A = {:[(2,0,0),(0,2,0),(0,0,2)]:}, then A^(6) = .........

If A =[{:(a,0,0),(0,a,0),(0,0,a):}] , then det (adjA) equals

If x ,\ y ,\ z are non-zero real numbers, then the inverse of the matrix A=[x0 0 0y0 0 0z] , is [x^(-1)0 0 0y^(-1)0 0 0z^(-1)] (b) x y z[x^(-1)0 0 0y^(-1)0 0 0z^(-1)] (c) 1/(x y z)[x0 0 0y0 0 0z] (d) 1/(x y z)[1 0 0 0 1 0 0 0 1]

Choose the correct answer in questions 17 to 19: If x, y, z are nonzero real numbers then the inverse of metrix A=[{:(x,0,0),(0,y,0),(0,0,z):}] is : (a) [{:(x^(-1),0,0),(0,y^(1),0),(0,0,z^(1)):}] (b) xyz[{:(x^(-1),0,0),(0,y^(1),0),(0,0,z^(1)):}] ( c) 1/(xyz)[{:(x,0,0),(0,y,0),(0,0,z):}] (d) 1/(xyz)[{:(1,0,0),(0,1,0),(0,0,1):}]

If x, y, z are non-zero real numbers, then the inverse of matrix A=[(x,0, 0) ,(0,y,0),( 0, 0,z)] is (A) [[x^(-1),0,0],[0,y^(-1),0],[0,0,z^(-1)]] (B) xyz[[x^(-1),0,0],[0,y^(-1),0],[0,0,z^(-1)]] (C) (1)/(xyz)[[x,0,0],[0,y,0],[0,0,z]]] (D) (1)/(xyz)[[1,0,0],[0,1,0],[0,0,1]]

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. "cot" theta = "sin" 2 theta, theta ne n pi, n in Z, "if" theta equals

    Text Solution

    |

  2. Find the smallest positive value of x and y satisfying x-y=pi/4 and co...

    Text Solution

    |

  3. If 0 <= x < 2pi, then the number of real values of x, which satisfy th...

    Text Solution

    |

  4. If the angles of a triangle are in the ratio 1:2:3,the corresponding s...

    Text Solution

    |

  5. In a A B C ,A : B : C=3:5: 4. Then a+b+csqrt(2) is equal to 2b b. 2c ...

    Text Solution

    |

  6. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

    Text Solution

    |

  7. ln a DeltaABC, if (cosA)/a=(cosB)/b=(cosC)/c and the side a = 2, then ...

    Text Solution

    |

  8. In DeltaABC, if sin^(2)A+sin^(2)B=sin^(2)C and l(AB)=10, then the maxi...

    Text Solution

    |

  9. In a triangle ABC, if sin A sin B= (ab)/(c^(2)), then the triangle is ...

    Text Solution

    |

  10. The perimeter of a triangle ABC is 6 times the arithmatic mean of the ...

    Text Solution

    |

  11. If angles A,B, and C are in A.P., then (a+c)/b is equal to

    Text Solution

    |

  12. If one side of a triangle is double the other, and the angles opposite...

    Text Solution

    |

  13. In triangleABC, (cos2A)/(a^(2))-(cos2B)/(b^(2))=

    Text Solution

    |

  14. If the sides of a triangle are 3, 5, 7, then

    Text Solution

    |

  15. If in a triangle ABC, 2cosA=sinBcosecC, then

    Text Solution

    |

  16. In triangleABC, if a^(2)+c^(2)-b^(2)=ac, then angleB=

    Text Solution

    |

  17. In A B C ,= if (a+b+c)(a-b+c)=3a c , then find /Bdot

    Text Solution

    |

  18. If, in a Delta ABC, a = 6cm , b = 8 cm, c = 10cm, then : sin 2A =

    Text Solution

    |

  19. If : a = 9, b = 8 and c = x satisfies 3 cos C = 2, then : x =

    Text Solution

    |

  20. In DeltaABC, a=2cm,b=3cmandc=4cm, then angle A is

    Text Solution

    |