Home
Class 12
MATHS
If sin^(-1)(a-a^2/3+a^3/9-...)+cos^(-1)(...

If `sin^(-1)(a-a^2/3+a^3/9-...)+cos^(-1)(1+b+b^2+...)=pi/2` then find `a` and `b`

A

a=-3 and b=1

B

a=1 and `b=-1/3`

C

`a=1/6` and `b=1/2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 1: (CONCEPT BUILDER)|60 Videos
  • INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|31 Videos
  • JEE MAIN - 2019 (HELD ON: 9TH APRIL 2019(MORNING SHIFT))

    DISHA PUBLICATION|Exercise MCQs|30 Videos

Similar Questions

Explore conceptually related problems

(a) sin^(-1)(-1/2)=? (b) cos^(-1)(sqrt3/2)=?

sin ^ (- 1) (a- (a ^ (2)) / (3) + (a ^ (3)) / (9) + (a ^ (3)) / (9) +) + cos ^ ( -1) (1 + b + b ^ (2) +) = (pi) / (2) sin a - + ... + cos11 + b + b2 + ...

If sin(A-B)=1/2 and cos(A+B)=1/2 , find A and B.

If a=sin^(-1)(-(sqrt(2))/(2))+cos^(-1)(-(1)/(2)) and b=tan^(-1)(-sqrt(3))-cot^(-1)(-(1)/(sqrt(3))) ,then find a-b " and " a+b

If sin(A+B)=1 and cos(A-B)=(sqrt(3))/(2) then find A and B

If sin A = (1)/(2) , cos B = 1, 0 lt A, B le (pi)/(2) then find the value of (A + B).

If sin (3A-B) = 1 and cos (2A - B) = (sqrt(3))/(2) , then the value of sin A and cos B are .

If sin^-1 x + cos^-1(1/3) =pi/2 then x is (a) pi/2 (b) 1/3 (c) pi/3 (d) 1/2

If sin^(-1)x+cos^(-1)(1)/(3)=(pi)/(2) ,then x is equal to: A) (1)/(3) B) (1)/(2) C) (pi)/(3) D) (pi)/(2)

DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 2: (CONCEPT APPLICATOR)
  1. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

    Text Solution

    |

  2. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, then

    Text Solution

    |

  3. Q. the value of tan^-1(a/(b+c))+tan^-1(b/(c+a)), if /=90^@ in triangle...

    Text Solution

    |

  4. If 1/2"sin"^(-1)(2x)/(1+x^2)+1/2"cos"^(-1)(1-y^2)/(1+y^2)+1/3"tan"^(-1...

    Text Solution

    |

  5. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/(4)"than ...

    Text Solution

    |

  6. If A="tan"^(-1)((xsqrt3)/(2K-x)) and B="tan"^(-1)((2x-K)/(Ksqrt3)), th...

    Text Solution

    |

  7. If f(x)=cot^(-1) ((3x-x^3)/(1-3x^2)) and g(x)=cos^(-1)((1-x^2)/(1+x^2)...

    Text Solution

    |

  8. Find x satisfying [tan^(-1)x]+[cos^(-1)x]=2, where [] represents the g...

    Text Solution

    |

  9. Evaluate underset(xto-1^(+))lim(sqrt(pi)-sqrt(cos^(-1)x))/(sqrt(1+x)).

    Text Solution

    |

  10. The value of sin^(-1){cot(sin^(-1)(sqrt((2-sqrt3)/4)+cos^(-1)(sqrt(12)...

    Text Solution

    |

  11. The minimum integral value of alpha for which the quadratic equation (...

    Text Solution

    |

  12. If the equation x^3+b x^2+c x+1=0,(b<c), has only one real rootalpha ,...

    Text Solution

    |

  13. Total number of ordered pairs (x, y) satisfying |y| = cos x and y = s...

    Text Solution

    |

  14. The set of values of k for which x^2 - kx + sin^-1 (sin 4) > 0 for all...

    Text Solution

    |

  15. If sin^-1x+sin^-1y+sin^-1z=pi then x^4+y^4+z^4+4x^2y^2z^2=

    Text Solution

    |

  16. Find the value of tan^-1(1/2tan2A)+tan^-1(cotA)+tan^-1(cot^3A)

    Text Solution

    |

  17. Find the number of positive integral solution of the equation tan^(-1)...

    Text Solution

    |

  18. If cos^(-1)x//2+cos^(-1) y//3=theta," prove that "9x^(2)-12xy cos thet...

    Text Solution

    |

  19. If "sin"^(-1)x+"sin"^(-1)y=pi/2, then (1+x^4+y^4)/(x^2-x^2y^2+y^2) is ...

    Text Solution

    |

  20. If sin^(-1)(a-a^2/3+a^3/9-...)+cos^(-1)(1+b+b^2+...)=pi/2 then find a ...

    Text Solution

    |