Home
Class 12
MATHS
sin^(-1)x gt cos^(-1)x golds for -...

`sin^(-1)x gt cos^(-1)x ` golds for -

A

all values of x

B

`x in (0,(1)/(sqrt(2)))`

C

`x in ((1)/(sqrt(2)),1)`

D

`x = 0.75`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise Long answer type questions|28 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

2 sin ^(-1 ) x= cos ^(-1) x

prove that sin^(-1) cos sin^(-1)x + cos^(-1) sin cos^(-1)x = pi /2

Solve sin^(-1) x gt tan^(-1) x

Find the value of x for which sin^(-1) (cos^(-1) x) lt 1 and cos^(-1) (cos^(-1) x) lt 1

The range of the function f(x) =sin (sin ^(-1) x+cos ^(-1)x) (|x| le 1) is-

Prove that sin cot^(-1) tan cos^(-1) x = sin cosec^(-1) cot tan^(-1) x = x, " where " x in [0,1]

Solve: sin^(-1)x-cos^(-1)x = pi/6

If x gt 0 , then the value of sin[cot^(-1)cos(tan^(-1)x)] is equal to -

prove that , sin ^(-1) cos sin ^(-1 )x+cos ^(-1) sin cos ^(-1) ""x=(pi)/(2)

Solve the equation sqrt(|sin^(-1)| cos x|| + |cos^(-1)| sin x||) = sin^(-1)|cos x | -cos^(-1)| sin x|, (-pi)/(2) le x le (pi)/(2)

CHHAYA PUBLICATION-TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS-sample questions for competive examination
  1. The values of x satisfying sin ^(-1) x+ sin ^(-1) (1-x) = cos^(-...

    Text Solution

    |

  2. sin^(-1)x gt cos^(-1)x golds for -

    Text Solution

    |

  3. If "cosec" ^(-1) x = sin ^(-1) ((1)/(x)) then x may be -

    Text Solution

    |

  4. 2 cot ^(-1) 7+ cos ^(-1) ((3)/(5)) is equal to -

    Text Solution

    |

  5. theta = tan ^(-1)(2 tan ^(2) theta )- tan ^(-1) ((1)/(3) tan theta...

    Text Solution

    |

  6. tan {2tan ^(-1)""((1)/(5))-(pi)/(4)} is equal to -(k )/(17) then f...

    Text Solution

    |

  7. IF sin ^(-1) x sin ^(-1) y =(2pi )/(3) then cos ^(-1) y =(pi)/(l...

    Text Solution

    |

  8. If cos^(-1)x + cos^(-1)y + cos^(-1)z = 3pi, then xy + yz +zx is equal ...

    Text Solution

    |

  9. The value of tan ^(-1) (1) + cos ^(-1) (-(1)/(2) ) + sin ^(-1) (-...

    Text Solution

    |

  10. The value of tan {(cos^(-1)(-(2)/(7))-(pi)/(2))}is (2)/(3sqrt(m)), f...

    Text Solution

    |

  11. Find prinicipal values for inverse circular functions cos ^(-1) ...

    Text Solution

    |

  12. Find prinicipal values for inverse circular functions sin^(-1)(sin...

    Text Solution

    |

  13. Find prinicipal values for inverse circular functions tan ^(-1) ...

    Text Solution

    |

  14. Find prinicipal values for inverse circular functions tan ^(-1) ...

    Text Solution

    |

  15. Find prinicipal values for inverse circular functions cos^(-1)(cos...

    Text Solution

    |

  16. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

    Text Solution

    |

  17. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

    Text Solution

    |

  18. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

    Text Solution

    |

  19. Find the general value of sin^-1(sqrt3/2)

    Text Solution

    |

  20. Statement -I : tan ^(-1)""((3)/(4))+tan ^(-1) ""((1)/(7))= (pi)/(4) s...

    Text Solution

    |