Home
Class 11
MATHS
Prove that the equation k cos x - 3 si...

Prove that the equation ` k cos x - 3 sin x =k +1` is solvable if `k in (-oo,4]`

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Prot that the equation k cos x-3sin x=k+1 possess a solution if k in (-oo,4] .

Prot that the equation k cos x-3s in x=k+1 possess a solution if k in (-oo,4]dot

The equation "sin"^(4) x -2 "cos"^(2) x + a^(2) =0 is solvable if

The equation "sin"^(4) x -2 "cos"^(2) x + a^(2) =0 is solvable if

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.

Let the inequality sin ^(2) x+a cos x +a ^(2) ge1+ cos x is satisfied AA x in R, for a in (-oo,k_(1)] uu[ k_(2), oo), then |k_(1)|+ |k_(2)|=

If the sum of the root of the equation cos 4x + 6+7 cos 2x in the interval [0,314] is kpi, k in R Find (k-1248)

In the Delta ABCA gt B. If the measures of A and B satisfy the equation 3 sin x - 4 sin ^(3) x - k =0, 0 lt k lt 1. Then the measure of C is

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

The equation sin^(4) x + cos^(4) x + sin 2x + k = 0 must have real solutions if :

ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. Solve the equation sin^(4)x + cos^(4)x =7/2 sinx.cosx.

    Text Solution

    |

  2. Find the number of distinct solution of sec x + tan x =sqrt(3) , wher...

    Text Solution

    |

  3. Prove that the equation k cos x - 3 sin x =k +1 is solvable if k in...

    Text Solution

    |

  4. Solve: costheta+cos3theta+cos5theta+cos7theta=0

    Text Solution

    |

  5. Solve: costhetacos2thetacos3theta=1/4, where 0 lethetalex.

    Text Solution

    |

  6. The total number of solution of the equation sin^(4) x + cos^(4) x = ...

    Text Solution

    |

  7. Solve the equation (sinx+cosx)^(1+sin2x)=2, when 0lt=xlt=pi

    Text Solution

    |

  8. Solve the inequation 2^((1)/(cos^(2)x))sqrt(y^(2)-y+(1)/(2)) le 1

    Text Solution

    |

  9. The equation 2cos^2 (x/2)sin^2x=x^2+x^(-2);0

    Text Solution

    |

  10. Find the solution set of inequality sin x gt 1//2

    Text Solution

    |

  11. Find the value of x , for which 5cos^2x + 7sin^2x - 6=0

    Text Solution

    |

  12. Find the values of alpha lying between 0 and pi for which the inequa...

    Text Solution

    |

  13. Solve the following equation : tan^2theta+sec^2theta+3=2(sqrt(2)sect...

    Text Solution

    |

  14. Find the solution set of equation 5^((1+log5cosx))=5/2

    Text Solution

    |

  15. For the given equation write the general solution tan^2 2x=1

    Text Solution

    |

  16. Find the values of x in the interval [0,2pi] which satisfy the inequal...

    Text Solution

    |

  17. If cos 3theta+sin3theta+(2sin2theta-3)(sin theta-cos theta)gt0, then t...

    Text Solution

    |

  18. The number of values of x in the in interval [0,5pi] satisfying the eq...

    Text Solution

    |

  19. The number of solutions of the equation (secx)/(1-cosx)=1/(1-cosx) ...

    Text Solution

    |

  20. The number of solutions of equation 2+7tan^2theta=3. 25sec^2theta(0^...

    Text Solution

    |