Home
Class 12
MATHS
Evaluate: sin(cot^(-1)x) (ii) cos(tan^(...

Evaluate: `sin(cot^(-1)x)` (ii) `cos(tan^(-1)x)`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Evaluate: sin{tan^(-1)(7/(24))} (ii) cos{cot^(-1)(5/(12))}

Evaluate: sin{tan^(-1)(-7/(24))} (ii) cos{cot^(-1)(-5/(12))}

Prove that tan(cot^(-1)x)=cot(tan^(-1)x)

Prove that tan(cot^(-1)x)=cot(tan^(-1)x)

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

Find the value of sin^(-1)(2^x) (ii) cos^(-1)sqrt(x^2-x+1) tan^(-1)(x^2)/(1+x^2) (iv) sec^(-1)(x+1/x)

Prove that: "sin"[cot^(-1){"cos"(tan^(-1)x)}]=sqrt((x^2+1)/(x^2+2)) cos [tan^(-1) (cot^(-1)x)}]=sqrt((x^2+1)/(x^2+2))

Find the values of x for which the following pair of functions are identical. (i) f(x)=tan^(-1)x+cot^(-1)x " and " g(x)=sin^(-1)x +cos^(-1)x (ii) f(x)=cos(cos^(-1)x) " and " g(x)=cos^(-1)(cosx)

Prove that: "sin"[cot^(-1){"cos"(tan^(-1)x)}]=sqrt((x^2+1)/(x^2+2))

Prove that: "sin"[cot^(-1){"cos"(tan^(-1)x)}]=sqrt((x^2+1)/(x^2+2)) cos"[tan^(-1){"sin"(cot^(-1)x)}]=sqrt((x^2+1)/(x^2+2))

ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that tan^(-1).(1)/(4) + tan^(-1).(2)/(9) = (1)/(2) cos ^(-1).(3)...

    Text Solution

    |

  2. Solve: sin^(-1)(3x)/5+sin^(-1)(4x)/5=sin^(-1)x

    Text Solution

    |

  3. Evaluate: sin(cot^(-1)x) (ii) cos(tan^(-1)x)

    Text Solution

    |

  4. sin(cot^(-1)(tan(tan^(-1)x))),"x" in (0," 1]

    Text Solution

    |

  5. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

    Text Solution

    |

  6. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

    Text Solution

    |

  7. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

    Text Solution

    |

  8. x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k, the possible value...

    Text Solution

    |

  9. Statement I is True: Statement II is True; Statement II is a correct ...

    Text Solution

    |

  10. Statement I is True: Statement II is True; Statement II is a correct ...

    Text Solution

    |

  11. : Find the value of cot (tan^-1 α + cot^-1 α).

    Text Solution

    |

  12. Determine the principal value of cos^-1( -1/2).

    Text Solution

    |

  13. A.Statement I is True: Statement II is True; Statement II is a correct...

    Text Solution

    |

  14. The number of ordered pair (x ,\ y) satisfying correspondence C1 is 1 ...

    Text Solution

    |

  15. The number of ordered pairs of integers (x,y) satisfying the equation ...

    Text Solution

    |

  16. is a function which is- a.  one-one           b.  many-one         ...

    Text Solution

    |

  17. p+r+2q= 1 b. 2 c. 0 d. 4

    Text Solution

    |

  18. If bdot(log)(|"s"|)|p+q|=kdota then value of k is- 9/2 b. 6 c. (-3)/2 ...

    Text Solution

    |

  19. Solve : cos ^(−1)(cos( (7π)/6) )

    Text Solution

    |

  20. The number of integral values of k for which the equation sin ^−1 x+t...

    Text Solution

    |