Home
Class 11
MATHS
For 0 lt theta lt 2pi, sin^(-1)(sintheta...

For `0 lt theta lt 2pi, sin^(-1)(sintheta) gt cos^(-1)(sintheta)` is true when

A

`(pi/4,pi)`

B

`(pi, (3pi)/2)`

C

`(pi/4, (3pi)/4)`

D

`((3pi)/4, 2pi)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)|31 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II LECTURE SHEET (ADVANCED) STRAIGHT OBJECTIVE TYPE QUESTIONS)|6 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II) (LEVEL - II INTEGER TYPE QUESTIONS)|5 Videos
  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

For 0 lt theta lt 2 pi sin^(-1)(sin theta)gtcos^(-1)(sin theta) is true when

If theta in [pi/2, (3pi)/2]" then "Sin^(-1)(sintheta)=

If 0 lt theta lt pi , then minimum value of 3 sin theta + cosec^(3) theta is

If 0 lt theta lt pi//2 and 2 sin theta = sqrt(3) cos 10^(@) + sin 10^(@) , then theta =

If pi/2 lt theta lt pi then sqrt((1-sin theta)/(1+sin theta))+sqrt((1+sin theta)/(1-sin theta))=

If 0lttheta ltpi/2,sin2theta=cos3theta then sintheta=

If costheta-sintheta=1 , then theta

Observe the following statements: Assertion(A) : If -(pi)/(2) lt theta lt (pi)/(2) and x=log_(e ) ((1+sin theta)/(cos theta)) then sinhx=tan theta Reason (R ) : For -(pi)/(2) lt theta lt (pi)/(2) , the value of sec theta is positive. Then the true statement among the following is

Lt_(theta to pi//2) (1-sin theta)/((pi)/(2))- theta cos theta=

AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-PRACTICE SHEET (EXERCISE-III) (LEVEL - I STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. If cos^(-1)x+Cos^(-1)y=(pi)/2 and Tan^(-1)x-Tan^(-1)y=0 then x^(2)+xy+...

    Text Solution

    |

  2. "tan"^(-1)(5/12)+sin^(-1)(24/25)=cos^(-1)(x) implies x=

    Text Solution

    |

  3. The equation 2Cos^(-1)x+Sin^(-1)x=(11pi)/6 has

    Text Solution

    |

  4. For 0leCos^(-1)xlepiand-pi/2leSin^(-1)xlepi/2, the value of cos(Sin^(-...

    Text Solution

    |

  5. If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=(pi)/2 and (x-y)^(2)+(y-z)^(2)+(z-x)^...

    Text Solution

    |

  6. If x(3-x) ge 2" then "Sin^(-1)(x)+Sin^(-1)(x^(2))+……..+Sin^(-1)(x^(10)...

    Text Solution

    |

  7. If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x is equal to

    Text Solution

    |

  8. The value of x where x gt0 and tan("sec"^(-1)1/x)=sin(tan^(-1)2) is

    Text Solution

    |

  9. Number of solutions of the equation cos^(-1)(1-x)-2cos^(-1)x=pi/2 is

    Text Solution

    |

  10. If "Cos"^(-1)x/a+"Cos"^(-1)y/b=(5pi)/12 and "Sin"^(-1)x/a-"Sin"^(-1)y/...

    Text Solution

    |

  11. If Cos^(-1)x gt Sin^(-1)x, then x belongs to the interval

    Text Solution

    |

  12. The smallest and the largest values of tan^(-1)((1-x)/(1+x)),0lexle1 a...

    Text Solution

    |

  13. For the equation Cos^(-1)x+Cos^(-1)2x+pi=0 the number of real solution...

    Text Solution

    |

  14. The value of a for which ax^(2)+sin^(-1)(x^(2)-2x+2)+cos^(-1)(x^(2)-2x...

    Text Solution

    |

  15. The exhaustive set of values of a for which a-cot^(-1)3x=2tan^(-1)3x+c...

    Text Solution

    |

  16. If abs(cos^(-1)((1-x^(2))/(1+x^(2)))) lt pi/3, then

    Text Solution

    |

  17. If log(2)x ge 0" then "log(1/pi)(sin^(-1)((2x)/(1+x^(2)))+2Tan^(-1)x)=...

    Text Solution

    |

  18. The solution of the inequality (sec^(-1)x)^(2)-6sec^(-1)x+8 gt 0 is

    Text Solution

    |

  19. Complete solution set of tan^(2)(sin^(-1)x) gt 1 is

    Text Solution

    |

  20. For 0 lt theta lt 2pi, sin^(-1)(sintheta) gt cos^(-1)(sintheta) is tru...

    Text Solution

    |