Home
Class 12
MATHS
If P=cos(cos x)+sin (cos x), then the le...

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

A

0 and 2

B

`-1` and 1

C

`-sqrt(2)` and `sqrt(2)`

D

0 and `sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|20 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 11|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

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

Similar Questions

Explore conceptually related problems

The greatest value of "sin"x."cos"x is

int sin x cos(cos x)dx

the greatest and least values of (sin^(-1) x)^2+(cos^(-1)x)^2

Find the greatest and least values of (sin^(-1) x)^2+(cos^(-1)x)^2

If "sin" 2x, (1)/(2) " and cos" 2x are in A.P., then the general values of x are given by

If sin x=cos^2x ,\ then write the value of cos^2x\ (1+cos^2x)dot

(ii)Find the value of cos x-sin x ?.

" Let " =|{:(cos x,,sin x,,cosx),( cos 2x,,sin 2x,,2cos 2x),(cos 3x,,sin 3x,,3cos 3x):}| then find the values of f(0) and f' (pi//2) .

Let p = 144 ^(sin^(2)x) + 144^( cos^(2)x), then the number of integral values of such p's can take are

The value of p so that the function f(x) i= sin x - cos x - px + q decreases for all real values of x is given by

ARIHANT MATHS ENGLISH-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 t a nbeta=(ns inalphacosalpha)/(1-ns in^2alpha) , show that tan(alp...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. If 0lex le(pi)/(3) then range of f(x)=sec((pi)/(6)-x)+sec((pi)/(6)+x) ...

    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. about to only mathematics

    Text Solution

    |

  15. If cos x-sin alpha cot beta sin x=cos alpha, then the vlaue 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 (cos alpha(1))(cos alpha(2))... ( cos alpha(n)) u...

    Text Solution

    |

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

    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

    |