Home
Class 12
MATHS
If f (theta) = |sin theta| + |cos theta...

If `f (theta) = |sin theta| + |cos theta|, theta in R`, then

A

`f(theta) in [0, 2]`

B

`f(theta)in [0, sqrt(2)]`

C

`f(theta) in [ 0, 1]`

D

`f(theta) in [1, sqrt(2)]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

If f (theta) = [[cos^(2) theta , cos theta sin theta,-sin theta],[cos theta sin theta , sin^(2) theta , cos theta ],[sin theta ,-cos theta , 0]] ,then f ( pi / 7) is

Let f(theta)= sin theta - cos^(2) theta-1 , where theta in R and m le f(theta) le M . The value of (4m+13) is equal to

Let f(theta)= sin theta - cos^(2) theta-1 , where theta in R and m le f(theta) le M . Find all values satisfying the equation sqrt((1)/(|m|)+sqrt((1)/(|m|)+sqrt((1)/(|m|)+...............oo))) , is

If A = [(cos theta, sin theta),(-sin theta, cos theta)] and B = [(sin theta, - cos theta), (cos theta, sin theta)] , evaluate A cos theta + B sin theta .

If f(theta)=(1-sin2 theta +cos theta theta)/(2 cos 2 theta) , then value of f(11^(@))*f(34^(@)) is __________

Find (dy)/(dx) in the following x = e^theta (sin theta + cos theta), y = e^(theta) (sin theta - cos theta)

Simplify, costheta[[cos theta, sin theta],[-sin theta, cos theta]] + sin theta [[sin theta, -cos theta],[cos theta, sin theta]]

If int (sin 3 theta + sin theta ) cos theta e ^(sin theta ) d theta = (A sin ^(3) theta + B cos ^(2) theta + C sin theta + D cos theta +E)e^(sin theta)+F, then:

If the coordinates of a variable point be (cos theta + sin theta, sin theta - cos theta) , where theta is the parameter, then the locus of P is

Vertices of a variable triangle are (3, 4), (5 cos theta, 5 sin theta) and (5 sin theta, -5 cos theta) , where theta in R . Locus of its orthocentre is

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

    Text Solution

    |

  2. In DeltaABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA Sin...

    Text Solution

    |

  3. If alpha,beta,gamma are acute angles and costheta=sinbeta//sinalpha,co...

    Text Solution

    |

  4. If t a nbeta=(n sinalphacosalpha)/(1-n sin^2alpha) , show that tan(alp...

    Text Solution

    |

  5. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

    Text Solution

    |

  6. The graph of the function y = cos x cos (x+2) - cos^(2)(x+1) is

    Text Solution

    |

  7. If f (theta) = |sin theta| + |cos theta|, theta in R, then

    Text Solution

    |

  8. If P=cos(cos x)+sin (cos x), then the least and greatest value of P re...

    Text Solution

    |

  9. If u(n)=sin(n theta) sec^(n) theta, v(n)=cos(n theta) sec^(n) theta ,...

    Text Solution

    |

  10. If A=sin^(8) theta + cos^(14) theta, then for all values of theta,

    Text Solution

    |

  11. Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(...

    Text Solution

    |

  12. The maximum value of the function f(x)=sin(x+pi/6)+cos(x+pi/6) in the ...

    Text Solution

    |

  13. If cot^2x=cot(x-y)(x-z),t h e ncot2x is equal to (w h e r ex!=pi/4)

    Text Solution

    |

  14. The minimum value of the expression sinalpha+sin beta+sin gamma, wher...

    Text Solution

    |

  15. If cos x-sin alpha cot beta sin x=cos alpha, then the value of tan (x/...

    Text Solution

    |

  16. If cos^4 theta sec^2 alpha,1/2 and sin^4 theta cosec^2 alpha are in ...

    Text Solution

    |

  17. The maximum value of (cosalpha(1))(cos alpha(2))...(cosalpha(n)), un...

    Text Solution

    |

  18. Find the set of values of x , which satisfy sin x * cos^(3) x gt cos *...

    Text Solution

    |

  19. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

    Text Solution

    |

  20. For a positive integer n , let fn(theta)=(tantheta//2)(1+sectheta)(1+s...

    Text Solution

    |