Home
Class 12
MATHS
sin^-1(cos x)+tan ^-1(cot x)...

`sin^-1(cos x)+tan ^-1(cot x)`

A

`m= 0 , M = pi `

B

`m= 0 , M = pi//2`

C

` m = pi//4,M=3pi/4`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE (B) Properties of triangles|27 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - B : MASTERING THE BEST|58 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise HARDER SOLVED EXAMPLES|43 Videos

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

sin^(-1)(sin x)=x;cos^(-1)(cos x)=x;tan^(-1)(tan x)=x;cot^(-1)(cot x)=x;sec^(-1)(sec x)=x;cos ec^(-1)(cos ecx)

Let f(x)=sin^(-1)(tan x)+cos^(-1)(cot x) then

If y=cot^(-1)(sqrt(cos x))-tan^(-1)(sqrt(cos x)), prove that sin y=tan^(2)(x)/(2)

(cosec x-sin x)(sec x-cos x)(tan x+cot x)=1

sin^-1(-x) = -sin^-1(x); cos^-1(-x) = pi - cos^-1(x); tan^-1(-x) = -tan^-1(x); cot^-1(-x) = pi - cot^-1(x); sec^-1(-x) = pi - sec^-1(x); cosec^-1(-x) = -cosec^-1(X)

The value of sin[cot^(-1){cos(tan^(-1) x)}] is

The value of 2tan^(-1)(cos ec tan^(-1)x-tan cot^(-1)x) is equal to (a)cot ^(-1)x( b ) (cot^(-1)1)/(x) (c)tan ^(-1)x (d) none of these

The value of x for which sin(cot^-1(1+x))=cos (tan^-1x) is

If A=sin[cot^(-1){cos(tan^(-1)x)}], then

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE
  1. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

    Text Solution

    |

  2. If sin^(-1)x= theta +phi and sin^(-1)y = theta - phi, then: 1+xy=

    Text Solution

    |

  3. sin^-1(cos x)+tan ^-1(cot x)

    Text Solution

    |

  4. If (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8, then find xdot

    Text Solution

    |

  5. If sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2))) = tan ^(-1)...

    Text Solution

    |

  6. If xge1 , " then :" 2 tan^(-1)x+sin^(-1)((2x)/(1+x^(2)))=...

    Text Solution

    |

  7. Prove that tan("pi"/4+1/2"cos"^(-1)"\ \ ""a"/"b")+"tan\ "("pi"/4+1/2"c...

    Text Solution

    |

  8. Show that: cos(2tan^(-1)1/7)=sin(4^(-1)1/3)

    Text Solution

    |

  9. If x=sin(2tan^(- 1)2), y=sin(1/2tan^(- 1)(4/3)) , then -

    Text Solution

    |

  10. cos^(-1)((1)/2)+2sin ^(-1)((1)/(2))=...

    Text Solution

    |

  11. Find the value of sin(1/2cot^(-1)(-3/4))

    Text Solution

    |

  12. tan [cos^(-1)((4)/(5)) +tan ^(-1)((2)/(3))]=....

    Text Solution

    |

  13. Evaluate: tan^(-1)(tan(5pi)/6)+cos^(-1){cos((13pi)/6)}

    Text Solution

    |

  14. Find the value of expression: sin(2tan^(-1)1/3)+cos(tan^(-1)2sqrt(2))

    Text Solution

    |

  15. If a=cos (2.tan^(-1).(1)/(7))and b = sin (4.tan^(-1).(1)/(3))

    Text Solution

    |

  16. If: cos(tan^(-1)x)=sin (cot^(-1).(3)/(4)), then : x =

    Text Solution

    |

  17. Find the value of sin^(-1) ( cos. ( 33pi)/5) .

    Text Solution

    |

  18. If cos((sin^(-1)2)/5+cos^(-1)x)=0 find the value of xdot

    Text Solution

    |

  19. If tan^(-1) x + tan^(-1) y = (4pi)/(5), then cot^(-1) x + cot^(-1) y ...

    Text Solution

    |

  20. If sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2))) = tan ^(-1)...

    Text Solution

    |