Home
Class 12
MATHS
If f(x)=sin(3x)/sin x,x!=npi, then th...

If `f(x)=sin(3x)/sin x,x!=npi`, then the range of values of f(x) for real values of x is

A

`[-1,3]`

B

`(-oo,-1)`

C

`(3,+oo)`

D

`(-1,3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If f(x)=(sin(3x))/(sin x),x!=n pi, then the range of values of f(x) for real values of x is

If f(x)=sin(2x)+5 then the minimum value of f(x) is

If f(x)=sin(2x)+5 then the minimum value of f(x) is

If f(x) = ((a+x)^(2)sin(a+x)-a^(2)sin a)/(x) , x !=0 , then the value of f(0) so that f is continuous at x = 0 is

If f(x)=[(3sin x)/(x)],x!=0, then the value of f(0) so that the function f(x) is continuous at x=0 is

The minimum value of f(x)= a sin x+b cos x is

If f(x)=(sin^(2)x+4sin x+5)/(2sin^(2)x+8sin x+8) then range of f(x) is

ALLEN-COMPOUND ANGLES-EX-01
  1. if sin x + sin^2 x = 1, then the value of cos^2 x + cos^4x is

    Text Solution

    |

  2. 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) is equal to 0 (b) 1 ...

    Text Solution

    |

  3. cos^2 48^0-sin^2 12^0 is equal to

    Text Solution

    |

  4. The expression (sin 8thetacos theta-sin6 thetacos 3 theta)/(cos 2 thet...

    Text Solution

    |

  5. If 3 sin alpha=5 sin beta, then (tan((alpha+beta)/2))/(tan ((alpha-bet...

    Text Solution

    |

  6. (sin(A-C)+2sinA+sin(A+C))/(sin(B-C)+2sinB+sin(B+C)) is equal to

    Text Solution

    |

  7. (1+sin 2theta+cos 2theta)/(1+sin2 theta-cos 2 theta)=

    Text Solution

    |

  8. If A=tan6^(@) tan 42^(@) and B= cot 66^(@)cot 78^(@) then-

    Text Solution

    |

  9. If x=ycos((2pi)/3)=zcos((4pi)/3), then xy+yz+zx=

    Text Solution

    |

  10. If tanalpha=(1+2^(-x))^(-1), tan beta=(1+2^(x+1))^(-1), then alpha+bet...

    Text Solution

    |

  11. If tanA+tanB+tanC=tanAtanBtanC then

    Text Solution

    |

  12. The value of sin10^@+sin20^@+sin30^@...+sin360^@ is equal to -

    Text Solution

    |

  13. The number of real solutions of the equation sin(e^x)=2^x+2^(-x) is

    Text Solution

    |

  14. If f(x)=sin(3x)/sin x,x!=npi, then the range of values of f(x) for ...

    Text Solution

    |

  15. If cosx+cosy+cosalpha=0 and sinx+siny+sinalpha=0 then cot((x+y)/2)=

    Text Solution

    |

  16. The value of sin(pi/14)sin((3pi)/14)sin((5pi)/14) is

    Text Solution

    |

  17. 18.. Maximum and minimum value of 2sin^2theta-3sintheta+2 is

    Text Solution

    |

  18. For theta in(0,pi/2) , the maximum value of sin(theta+pi/6)+cos(theta+...

    Text Solution

    |

  19. Minimum value of the expression cos^2theta-(6 sintheta cos theta) + 3 ...

    Text Solution

    |