Home
Class 11
MATHS
If f(x)=(sin3x)/sin x,X ne n pi then fin...

If `f(x)=(sin3x)/sin x`,`X ne n pi` then find range of f(x)

Text Solution

Verified by Experts

hence range of `f(x) in[-1,3]`
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 function f:R to R is defined by f(x)=cos^(2)x+sin^(4)x for x in R . Then the range of f(x) is

Find the range of f(x)=sin(cosx).

Let RR be the set of real numbers and f : RR to RR be defined by f(x)=sin x, then the range of f(x) is-

If f(x)=sin^6x+cos^6x , then range of f(x) is

f(x)=sqrt([sin2x]-[cos2x]) :[.]GIF, then range of f(x)

Given, f(x) =(log(1+x^(2) tanx))/(sin x^(3)) , when x ne 0 . Find the assigned value of f(0), if f(x) is to be continuous at x=0.

If f(x)=sin3x cos4x , then the value of f''((pi)/(2)) is -

If 2f(x) - 3f(1/x) = x^2 (x ne 0) , then find f(2).

" Let f(x) " =|{:(cos x,,sin x,,cosx),( cos 2x,,sin 2x,,2cos 2x),(cos 3x,,sin 3x,,3cos 3x):}| then find the values of f' (pi//2) .

Let f(x)=-sin^3x+3sin^2x+5 on [0,pi/2] . Find the local maximum and local minimum of f(x)dot

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. Find the value of (sqrt((1+sin 2A))+sqrt(1-sin 2A))/(sqrt(1+sin 2A)-sq...

    Text Solution

    |

  2. Find the maximum and minimum value of 6sinx cosx +4cos2x

    Text Solution

    |

  3. If f(x)=(sin3x)/sin x,X ne n pi then find range of f(x)

    Text Solution

    |

  4. Find the maximum and minimum value of cos^2theta -6 sin theta .cos the...

    Text Solution

    |

  5. Prove that sin 6^@ sin 42^@sin 66^@sin 78^@=1/16

    Text Solution

    |

  6. if 0ltalpha,beta,gamma lt(pi/2) prove that sin alpha+sin beta+sin gamm...

    Text Solution

    |

  7. Show that sin(pi/n)+sin (3pi/n)+sin (5pi/n)+….n terms=0

    Text Solution

    |

  8. .(tantheta +sectheta-1)/(tantheta -sectheta+1)=

    Text Solution

    |

  9. If sectheta=sqrt2 and (3pi)/2ltthetalt2pi. Then the value of (1+tanthe...

    Text Solution

    |

  10. (cosec(2pi+theta)cos(2pi+theta)tan(pi/2+theta))/(sec(pi/2+theta)costhe...

    Text Solution

    |

  11. In triangle ABC, right angled at C, (tanA+tanB) equal to

    Text Solution

    |

  12. If sintheta and costheta are the roots of the equation ax^2-bx+c=0, th...

    Text Solution

    |

  13. (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=

    Text Solution

    |

  14. If tanbeta=(2sinalphasingamma)/sin(alpha+gamma), then cotalpha,cotbeta...

    Text Solution

    |

  15. If(1+tan1^@)(1+tan2^@)....(1+tan45^@)=2^n, then the value of n is

    Text Solution

    |

  16. If alpha+beta =(pi/2) and beta+gamma=alpha, then the tanalpha equals:

    Text Solution

    |

  17. If sec(theta+alpha)+sec(theta-alpha)=2/costheta. then cos^2theta is eq...

    Text Solution

    |

  18. If tanA=(1-cosB)/sinB, then

    Text Solution

    |

  19. If m and M be the minimum and maximum value of 10 cos^2x-6sinxcosx+2si...

    Text Solution

    |

  20. 3(sinx-cosx)^4+6(sinx+cosx)^2+4(sin^6x+cos^6x) is equal to

    Text Solution

    |