Home
Class 12
MATHS
For any real theta, the maximum value of...

For any `real theta,` the maximum value of `cos^(2)(costheta)+sin^(2)(sintheta)` is

A

1

B

`1+sin ^(2)1`

C

`1+ cos ^(2) 1`

D

Does not exist

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ANSWER IS/ARE CORRECT )|29 Videos

  • APPLICATION OF DERIVATIVES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|15 Videos

  • AREA UNDER CURVES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise AXERCISE (SUBJECTIVE TYPE PROBLEMS)|8 Videos

Similar Questions

Explore conceptually related problems

For any the real theta the maximum value of cos^2(costheta)+sin^2(sintheta) is

Maximum and minimum value of 2sin^(2)theta-3sintheta+2 is-

If costheta+sintheta=sqrt(2)costheta ,then find the value of (costheta-sintheta)/(sintheta) .

Minimum value of cos2theta+costheta for all real value of theta is

If theta is an acute angle and sintheta=costheta , find the value of 2tan^2theta+sin^2theta-1

A value of theta satifying 4costheta sintheta - 2sintheta =0 is

if sintheta-costheta=0, then the value of (sin^4theta+cos^4theta)

If sintheta-costheta=1, then the value of sin^3theta-cos^3theta is __________

Statement I The maximum value of sin theta+costheta is 2. Statement II The maximum value of sin theta is 1 and that of cos theta is also 1.

if A=[{:(costheta,sin theta ),(-sin theta,costheta):}] , then show that : A^(2)=[{:(cos2theta,sin2theta),(-sin2theta,cos2theta):}]

VIKAS GUPTA (BLACK BOOK) ENGLISH-APPLICATION OF DERIVATIVES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. For any real theta, the maximum value of cos^(2)(costheta)+sin^(2)(sin...

    Text Solution

    |

  2. A conical vessel is to be prepared out of a circular sheet of gold of ...

    Text Solution

    |

  3. On [1,e], then least and greatest vlaues of f (x) = x^(2)ln x are m a...

    Text Solution

    |

  4. If f (x)= (px)/(e ^(x)) - (x ^(2))/(2) + x is a decreasing function f...

    Text Solution

    |

  5. L e tf(x)={x e^(a x),xlt=0x+a x^2-x^3,x >0 where a is a positive cons...

    Text Solution

    |

  6. Find sum of all possible values of the real parameter 'b' if the diffe...

    Text Solution

    |

  7. Let 'theta' be the angle in radians between the curves (x ^(2))/(36) +...

    Text Solution

    |

  8. Let set of all possible values of lamda such that f (x)= e ^(2x) - (la...

    Text Solution

    |

  9. Let a,b,c and d be non-negative real number such that a ^(5)+b^(5) le ...

    Text Solution

    |

  10. There is a point (p,q) on the graph of f(x)=x^(2) and a point (r,s) on...

    Text Solution

    |

  11. If f(x)=max| 2 siny-x|, (where y in R), then find the minimum value o...

    Text Solution

    |

  12. Let f (x) = int (0)^(x) ((a -1) (t ^(2)+t+1)^(2) -(a+1)(t^(4)+t ^(2) +...

    Text Solution

    |

  13. The numbr of real roots of the equation x ^(2013)+ e ^(2014x) =0 is

    Text Solution

    |

  14. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

    Text Solution

    |

  15. The least positive integral value of 'k' for which there exists at lea...

    Text Solution

    |

  16. The coordinates of a particle moving in a plane are given by x (t) = a...

    Text Solution

    |

  17. A tank contains 100 litres of fresh water. A solution containing 1 gm/...

    Text Solution

    |

  18. If f (x) is continous and differentiable in [-3,9] and f'(x) in [-2,8]...

    Text Solution

    |

  19. It is given that f (x) is defined on R satisfying f (1)=1 and for AA ...

    Text Solution

    |

  20. The number of normals to the curve 3y ^(3) =4x which passes through th...

    Text Solution

    |

  21. Find the number of real root (s) of the equation ae ^(x) =1+ x + (x ^(...

    Text Solution

    |