Home
Class 12
MATHS
The number of solutions of "cos"(2sin^(-...

The number of solutions of `"cos"(2sin^(-1)("cot"(tan^(-1)(sec(6cos e c^(-1)x))))+1=0` where `x >0` is

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

Similar Questions

Explore conceptually related problems

Find the number of solution of the equation "cos"(cos^(-1)x)=cos e c(cos e c^(-1)x)dot

Number of solutions of equation sin(cos^(-1)(tan(sec^(-1)x)))=sqrt(1+x) is/are ____

The value of "tan"(sin^(-1)("cos"(sin^(-1)x)))"tan"(cos^(-1)(sin(cos^(-1)x))),w h e r ex in (0,1), is equal to (a) 0 (b) 1 (c) -1 (d) none of these

The number of solutions of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=pi/2 is 2 (b) 3 (c) 1 (d) 0

The number of solutions of tan x+ sec x=2 cos x in (0, 2pi) is

Prove that: cosec(tan^(-1)("cos"(cot^(-1)("sec"(sin^(-1)a)))))=sqrt(3-a^2), where a in [0,1]

The solution of the equation sin[2cos^-1{cot(2tan^-1x)}] = 0 are

The value of sin^-1(cos(sin^-1x))+cos^-1(sin(cos^-1x)) where absx le 1 , is

The number of solution of equation sin^(-1)x+nsin^(-1)(1-x)=(mpi)/2 ,where n >0, m<=0, is

tan ^(-1)""(1-x)/(1+x)-(1)/(2) tan ^(-1 )""x=0 where x gt 0

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve for x : sin^(- 1)(sin((2x^2+4)/(1+x^2)))lt pi-3

    Text Solution

    |

  2. Find the value of "cos"(2cos^(-1)x+sin^(-1)x) at x=1/5, where 0lt=pi a...

    Text Solution

    |

  3. The number of solutions of "cos"(2sin^(-1)("cot"(tan^(-1)(sec(6cos e c...

    Text Solution

    |

  4. Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)b epidot If x satisfies the e...

    Text Solution

    |

  5. If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is (a) 6 (b...

    Text Solution

    |

  6. If cosec^(-1)(cosecx) and cosec(cosec^(-1)x) are equal functions, then...

    Text Solution

    |

  7. cos^(-1)("cos"(2cot^(-1)(sqrt(2)-1))) is equal to (a) sqrt(2)-1 (b) p...

    Text Solution

    |

  8. The value of sin^(-1)("cot"(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)((sqr...

    Text Solution

    |

  9. The value of cos^(-1)sqrt(2/3)-cos^(-1)((sqrt(6)+1)/(2sqrt(3))) is equ...

    Text Solution

    |

  10. The value of cos(1/2cos^(-1)(1/8)) is (a)3/4 (b) -3/4 (c) 1/(16)...

    Text Solution

    |

  11. Solve the equation tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/x)=tan^(-1)(-7...

    Text Solution

    |

  12. Solve the equation sin^(-1)6 x+sin^(-1)6sqrt(3)x=(-pi)/2dot

    Text Solution

    |

  13. Prove that: tan^-1((c1x-y)/(c1y+x))+tan^-1((c2-c1)/(1+c2c1))+tan^-1((c...

    Text Solution

    |

  14. Let f(x)=sinx+cosx+tanx+sin^(-1)x+cos^(-1)x+tan^(-1)xdot Then find the...

    Text Solution

    |

  15. If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = ...

    Text Solution

    |

  16. The number of solutions of the equation cos^(-1)((1+x^2)/(2x))-cos^(-1...

    Text Solution

    |

  17. f(x)=tan^(-1)x+tan^(-1)(1/x);g(x)=sin^(-1)x+cos^(-1)x are identical fu...

    Text Solution

    |

  18. If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then the value of asqrt((1-a^2))+...

    Text Solution

    |

  19. The solution set of inequality log(1/2) sin^-1 x gt log(1/2) cos^-1 x

    Text Solution

    |

  20. For 0 < theta < 2pi , sin^(-1)(sintheta)>cos^(-1)(sintheta) is true wh...

    Text Solution

    |