Home
Class 12
MATHS
2tan^(-1)(-2) is equal to (a)-cos t^(-...

`2tan^(-1)(-2)` is equal to (a)`-cos t^(-1)((-3)/5)` (b) `-pi+cos^(-1)3/5` (c)`-pi/2+tan^(-1)(-3/4)` (d) `-picot^(-1)(-3/4)`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

The value of sin^(-1)((12)/(13)) - sin ^(-1)((3)/(5)) is equal to (A) pi-sin ^(-1) ((63)/(65)) (B) (pi)/(2) - sin ^(-1)((56)/(65)) (C) (pi)/(2) - cos ^(-1)((9)/(65)) (D) pi - cos ^(-1)((3)/(65))

The angle between the tangents to the curves y=x^2a n dx=y^2a t(1,1) is cos^(-1)(4/5) (b) sin^(-1)(3/5) tan^(-1)(3/4) (d) tan^(-1)(1/3)

If alpha = cos^(-1)((3)/(5)), beta = tan ^(-1)((1)/(3)) , where 0 lt alpha, beta lt (pi)/(2) , then alpha - beta is equal to (A) tan ^(-1)((9)/( 5sqrt(10))) (B) cos ^(-1)((9)/( 5sqrt(10))) (C) tan^(-1)((9)/(14)) (D) sin ^(-1)((9)/(5 sqrt(10)))

Which of the following quantities is/are positive? (a) "cos"(tan^(-1)(t a n4)) (b) "sin"(cot^(-1)(cot4)) "tan"(cos^(-1)(cos5)) (d) "cot"(sin^(-1)(sin4))

If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3) (d) sqrt(2)

Prove that cos^(-1)((4)/(5))+tan^(-1)((3)/(5))=tan^(-1)((27)/(11))

sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3) is equal to (a)5 (b) 13 (c) 15 (d) 6

The value of tan(cos^(-1)""(3)/(5)+tan^(-1)""(1)/(4)) is …………

Evaluate the following: (i) sin^(-1)(sinpi/4) (ii) cos^(-1)(cos2pi/3) (iii) tan^(-1)(tanpi/3)

Find the value of tan(2tan^(-1)((1)/(5))-(pi)/(4))

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If 2^((2pi)/sin^(-1)x)-2(a+2)^(pi/sin^(-1)x)+8a<0 for at least one re...

    Text Solution

    |

  2. Which of the following is/are the value of "cos"[1/2cos^(-1)(cos(-(14p...

    Text Solution

    |

  3. 2tan^(-1)(-2) is equal to (a)-cos t^(-1)((-3)/5) (b) -pi+cos^(-1)3...

    Text Solution

    |

  4. If the equation sin^(-1)(x^2+x+1)+cos^(-1)(lambda+1)=pi/2 has exactly ...

    Text Solution

    |

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

    Text Solution

    |

  6. Find the minimum value of the function f(x)=(pi^2)/(16cot^(-1)(-x))-co...

    Text Solution

    |

  7. Find the range of y=(cot^(-1)x)(cot^(-1)(-x))dot

    Text Solution

    |

  8. If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x

    Text Solution

    |

  9. If 1/(sqrt(2))<x<1 then prove that cos^(-1)x+cos^(-1)((x+sqrt(1-x^2))/...

    Text Solution

    |

  10. Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/2}=pi/4+(cos^(-1)x)/2,""0 <...

    Text Solution

    |

  11. Prove that cos^(-1)((1-x^(2n))/(1+x^(2n)))=2tan^(-1)x^n ,0 lt x lt oo

    Text Solution

    |

  12. Prove that cos^(-1){(1+x)/2}=(cos^(-1)x)/2

    Text Solution

    |

  13. Prove that tan^(-1){x/(a+sqrt(a^2-x^2))}=1/2sin^(-1)x/a ,-a lt x lt a

    Text Solution

    |

  14. Prove that: cos e c(tan^(-1)("cos"(cot^(-1)("sec"(sin^(-1)a)))))=sqrt(...

    Text Solution

    |

  15. If x lt 0, then prove that cos^(-1) x = pi - sin^(-1) sqrt(1 - x^(2))

    Text Solution

    |

  16. If cos^(-1)x-cos^(-1)y/2=alpha,t h e n4x^2-4x ycosalpha+y^2 is equal t...

    Text Solution

    |

  17. If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi,t h e nx^4+y^2+z^4+4x^2y^2z^2=K(x^...

    Text Solution

    |

  18. If f(x)=sin^(-1)((sqrt(3))/2x-1/2sqrt(1-x^2)),-1/2lt=xlt=1,t h e nf(x)...

    Text Solution

    |

  19. Let |[tan^(-1)x,tan^(-1)2x,tan^(-1)3x],[tan^(-1)3x,tan^(-1)x,tan^(-1)2...

    Text Solution

    |

  20. If x1=2tan^(-1)((1+x)/(1-x)),x2=sin^(-1)((1-x^2)/(1+x^2)) , where x in...

    Text Solution

    |