Home
Class 12
MATHS
Find the number of integral values of k ...

Find the number of integral values of k for which the equation 12cosx - 5 sinx = 2k+1 has a solution.

Text Solution

AI Generated Solution

To find the number of integral values of \( k \) for which the equation \( 12 \cos x - 5 \sin x = 2k + 1 \) has a solution, we can follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ 12 \cos x - 5 \sin x = 2k + 1 \] ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|32 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment section-A (Objective Type Questions (One option is correct))|49 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - J|10 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Find the number of integral values of k for which the equation 7 cos x+5 sin x=2k+1 has at least one solution.

The number of integral values of k for which the equation 7cos x +5 sinx=2k+1 has a solution is (1) 4 (2) 8 (3) 10 (4) 12

The number of integral values of k for which the equation 7cos x +5 sinx=2k+1 has a solution is (1) 4 (2) 8 (3) 10 (4) 12

The number of integral values of k for which the equation sin ^−1 x+tan −1 x=2k+1 has a solutions is:

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is

The number of integer values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is (a)1 (b) 2 (c) 3 (d) 4

If the equation kcosx-3sinx=k+1 has a solution for x then

Number of integral values of k for which the equation 4 cos^(-1)(-|x|)=k has exactly two solutions, is: (a) 4 (b) 5 (c) 6 (d) 7

Number of integral value(s) of m for which the equation sinx-sqrt(3)cosx=(4m-6)/(4-m) has solutions, x in [0,2pi] , is ________

Find the values of k for which the equation x^2+5k x+16=0 has no real roots.

AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section - J (Akash Challengers Question)
  1. Find the number of integral values of k for which the equation 12cosx ...

    Text Solution

    |

  2. If cos^(2009)x(1) + cos^(2009)x(2) + cos^(2009)x(3) + ………. +cos^(2009)...

    Text Solution

    |

  3. If a cos^(3) alpha+3a cos alpha sin^(2) alpha=m and a sin^(3) alpha+3a...

    Text Solution

    |

  4. If alpha satisfies 15 sin^(4)alpha + 10 cos^(4)alpha=6, then find the ...

    Text Solution

    |

  5. If A= tan27theta - tantheta and B= (sintheta)/(cos 3theta) +(sin 3thet...

    Text Solution

    |

  6. If A=sqrt(3) cot 20^(@) - 4 cos20^(@) and B= sin12^(@) sin48^(@) sin54...

    Text Solution

    |

  7. If tan alpha = 1/sqrt(x(x^2+x+1)),tan beta=sqrtx/sqrt(x^2+x+1) and ...

    Text Solution

    |

  8. The number of values of x lying in [-pi, pi] and satisfying 2sin^2the...

    Text Solution

    |

  9. The number of solutions of the equation sinx.cosx(cosx-sinx)^(2). (sin...

    Text Solution

    |

  10. The number of solutions of the equation sin^(5)theta + 1/(sintheta) = ...

    Text Solution

    |

  11. The number of solutions of x in the interval [-pi, pi] of the equation...

    Text Solution

    |

  12. The general solution of the equation tan(x+20^@)tan(x-4 0^(@))=tan(x-...

    Text Solution

    |

  13. Let x in [0,2pi] The curve y=secx tanx +2tanx - sec x and the line y=2...

    Text Solution

    |

  14. Let p (x) be a polynomial with real coefficient and p (x)=x^(2)+2x+1. ...

    Text Solution

    |

  15. Let three sets be defined as A={x|cos2x + cosx+1=0} B={x|cos2x + 3...

    Text Solution

    |

  16. The number of solutions of the equation 2^|x|=1+2|cosx| is

    Text Solution

    |

  17. If the equation 1 +sin^2 xtheta= costheta has a non-zero solution in t...

    Text Solution

    |