Home
Class 11
MATHS
The inequation 4sin3x+5ge4cos2x+5sinx...

The inequation `4sin3x+5ge4cos2x+5sinx`

A

is equivalent to `sinxle1`

B

is equivalent to `sinxge1`

C

is true for all x

D

is true only when sinx=1

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

The number of solution (s) of the equation sin^4 x + cos^4 x = sinx cosx in [0 , 2pi]

Solve the equation sin^4x+cos^4x-2sin^2x+(3sin^2 2x)/4=0

Number of solution(s) of the equation (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27x)=0 in the interval (0,pi/4) is____________

Find the number of roots of equation sinx+sin5x=sin2x+ sin4x

The number of distinct solutions of the equation 5/4cos^2 2x+cos^4x+sin^4x+cos^6x+sin^6x=2 in the interval [0, 2pi] is

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 general solution of the equation sinx-3sin2x+sin3x=cosx-3cos2x+cos3x is

sin3x + sinx = cos6x + cos4x

The solution of the inequation 4^(-x+0.5)-7.2^(-x) < 4,x in R is

The maximum value of 4sin^2x+3cos^2x+sin(x/2)+cos(x/2) is

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. Value of the expression 2sinx-cos2x is

    Text Solution

    |

  2. The range of function tan(pi/4sin^2x) must be

    Text Solution

    |

  3. The inequation 4sin3x+5ge4cos2x+5sinx

    Text Solution

    |

  4. If 7cosx-24sinx=dcos(x+alpha), oltalphaltpi/2, be true for all x in R,...

    Text Solution

    |

  5. Prove that abs(sinthetasin(60^@-theta)sin(60^@+theta)) le1/4 for all v...

    Text Solution

    |

  6. In a Delta ABC

    Text Solution

    |

  7. In a triangle tanA+tanB+tanC=6 and tanAtanB=2, then the values of tanA...

    Text Solution

    |

  8. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

    Text Solution

    |

  9. If tanalpha and tanbeta are the roots of the equation x^2+px+q=0 (pne0...

    Text Solution

    |

  10. Let f(theta, alpha)= 2sin^2theta+4cos(theta+alpha)sintheta.sinalpha+co...

    Text Solution

    |

  11. Let f(theta, alpha)= 2sin^2theta+4cos(theta+alpha)sintheta.sinalpha+co...

    Text Solution

    |

  12. Let f(theta) = sqrt(a^2cos^2theta+b^2sin^2theta) + sqrt(a^2sin^2theta+...

    Text Solution

    |

  13. Let f(theta) = sqrt(a^2cos^2theta+b^2sin^2theta) + sqrt(a^2sin^2theta+...

    Text Solution

    |

  14. If cos(pi/7), cos((3pi)/7), cos((5pi)/7) are the roots of the equation...

    Text Solution

    |

  15. If cos(pi/7), cos((3pi)/7), cos((5pi)/7) are the roots of the equation...

    Text Solution

    |

  16. Match List - I with List-II

    Text Solution

    |

  17. Match List - I with List-II

    Text Solution

    |

  18. If cosx+sinx=sqrt2cosx and cosx-sinx=k.sinx, then k^2=?

    Text Solution

    |

  19. If sintheta+costheta=1, then find the minimum value of (1+sectheta)(1+...

    Text Solution

    |

  20. If M be the maximum value of 1+2sinx+3cosx, then 3M-10 is equal to

    Text Solution

    |