Home
Class 12
MATHS
The range of f(x) = cos x - sin x is...

The range of `f(x) = cos x - sin x` is

A

`[-1, 1]`

B

`[-1, -1]`

C

`[-sqrt2, sqrt2]`

D

`[-2,-2]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-1|70 Videos
  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

IF [5 sin x]+ [cos x]+6=0, then range of f(x)=sqrt3 cos x + sin x corresponding to solution set of the given equation is: (where [.] denotes greatest integer function)

The range of f(x)=(1)/(3cos x-4sin x+6) is

Range of f(x)=2cos^(2)x+sin x-8 is

The range f(x)=cos2x-sin2x contains the set

Range of f(x)=sin x+cos x+3

Range of f(x)=sin^(-1)x*sin x

Find the range of f(x)=sin^(2)x-sin x+1

Find the range of f(x)=log_([x-1])sin x

Find the range of f(x)=log_([x-1])sin x

DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-2
  1. Which of the following is correct ?

    Text Solution

    |

  2. if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the...

    Text Solution

    |

  3. If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+...

    Text Solution

    |

  4. The value of sin ""(pi)/(16) sin ""(3pi)/(16) sin ""(5pi)/(16) sin ""(...

    Text Solution

    |

  5. General solution of the equation 2 cot ^(2) theta + 2sqrt3 cot theta...

    Text Solution

    |

  6. A man observe that was he has climbed up 1/3 of the length of an incli...

    Text Solution

    |

  7. The number of solutions of tan x+ sec x=2 cos x in (0, 2pi) is

    Text Solution

    |

  8. If sinA=3/5, 0 lt A lt pi/2 and cosB=-12/13, pi lt B lt (3pi)/2, then ...

    Text Solution

    |

  9. The domain of f(x)= sqrt(cos(sinx))+sqrt(logx{x}) where {x} denotes fr...

    Text Solution

    |

  10. The range of f(x) = cos x - sin x is

    Text Solution

    |

  11. If P is a point on the altitude AD of the triangle ABC such the /C B P...

    Text Solution

    |

  12. From the top of a cliff 50 m high, the angles of depression of the top...

    Text Solution

    |

  13. The value of (1)/(sin 10^(@)) -(sqrt3)/(cos 10^(@)) is equal to

    Text Solution

    |

  14. What is the value of sin((5pi)/(12))?

    Text Solution

    |

  15. General solution of the equation tanthetatan2theta=1 is given by

    Text Solution

    |

  16. The minimum value of the function f(x)=(sinx)/(sqrt(1-cos^2x))+(cosx)/...

    Text Solution

    |

  17. The value of cosec 430 ^(@) + sqrt3 sec 470^(@) is :

    Text Solution

    |

  18. In a triangle A B C , if cos A=(sinB)/(2sinC) , show that the triangle...

    Text Solution

    |

  19. If tan theta =-4/3, then sin theta is

    Text Solution

    |

  20. Given that (1+sqrt(1+y))tan y = 1+sqrt(1-y) Then sin 4y is equal to: ...

    Text Solution

    |