Home
Class 12
MATHS
Find the value of x for which f(x)=sqrt(...

Find the value of `x` for which `f(x)=sqrt(sinx-cosx)` is defined, `x in [0,2pi)dot`

Text Solution

Verified by Experts

`f(x)=sqrt(sinx-cosx) " is defined if " sinxgecosx`.

From the graph, `sinxge cosx,for x in [pi/4,(5pi)/4]`.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise example|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Concept Application Exercises 2.1|8 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Archives (Matrix Match Type)|1 Videos
  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

Find the value of x in [-pi,pi] for which f(x)=sqrt((log)_2(4sin^2x-2sqrt(3)sinx-2sinx+sqrt(3)+1)) is defined.

Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreases for all real values of xdot

Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreases for all real values of xdot

Find the value of a for which the function f defined by f(x)={asin(pi/2)(x+1),xlt=0(tanx-sinx)/(x^3),x >0" is continuous", at x=0

Find the value of a for which the function f defined by f(x)={asinpi/2(x+1), ,xlt=0(tanx-sinx)/(x^3),x >0" is continuous at x=0

Find the value of ' a^(prime) for which the function f defined by f(x)={asinpi/2(x+1),\ \ \ xlt=0(tanx-sinx)/(x^3),\ \ \ x >0 is continuous at x=0 .

Find the intervals in which f(x)=sinx-cosx , where 0 lt x lt 2pi is increasing or decreasing.

Write the interval in which f(x)=sinx+cosx ,\ \ x in [0,\ pi//2] is increasing.

The maximum value of f(x)=(sin2x)/(sinx+cosx) in the interval (0, (pi)/(2)) is

Find all the points of local maxima and minima of the function f given by f(x)= sinx- cosx , x in [0,2pi]

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS -SINGLE CORRECT ANSWER TYPE
  1. Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0...

    Text Solution

    |

  2. The circular wire of diameter 10 cm is cut and placed along the circum...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. If theta in (pi//4, pi//2) and sum(n=1)^(oo)(1)/(tan^(n)theta)=sin the...

    Text Solution

    |

  5. The value of (tan^(2)20^(@)-sin^(2)20^(@))/(tan^(2)20^(@).sin^(2)20^(@...

    Text Solution

    |

  6. If 15 sin^(4)alpha+10cos^(4)alpha=6, then the value of 8 cosec^(6)alph...

    Text Solution

    |

  7. In DeltaABC, if sin A + sin B + sin C= 1 + sqrt2 and cos A+cos B+cos...

    Text Solution

    |

  8. If (sin^(2)x-2cos^(2)x+1)/(sin^(2)x+2cos^(2)x-1)=4, then the value of ...

    Text Solution

    |

  9. If sintheta,tantheta,costheta are in G.P. then 4sin^2theta-3sin^4theta...

    Text Solution

    |

  10. If tantheta-cottheta=aandsintheta+costheta=b, then, (b^2-1)^2(a^2+4...

    Text Solution

    |

  11. The least value of 18 sin^(2)theta+2 cosec^(2)theta-3 is (a) -15 (b) ...

    Text Solution

    |

  12. If tan^2 alpha tan^2 beta + tan^2 beta tan^2 gamma + tan^2 gamma tan^2...

    Text Solution

    |

  13. If x,y,z be all positive acute angles then the least value of tanx(cot...

    Text Solution

    |

  14. Three circles each of radius 1, touch one another externally and they ...

    Text Solution

    |

  15. If (cos alpha)/(cos A)+(sin alpha)/(sin A)+(sin beta)/(sin A)=1, where...

    Text Solution

    |

  16. Consider angles alpha = (2n+(1)/(2))pi pm A and beta = m pi +(-1)^(m)(...

    Text Solution

    |

  17. Which of the following is true ?

    Text Solution

    |

  18. If the angle A of a triangle ABC is given by the equation 5 cos A + 3 ...

    Text Solution

    |

  19. Which of the following is greatest ?

    Text Solution

    |

  20. The number of value/values of x for which sin y=x^(2)-2x si possible i...

    Text Solution

    |

  21. Which of the following is not correct ?

    Text Solution

    |