Home
Class 12
MATHS
If alpha in (-(3pi)/2,-pi) , then the va...

If `alpha in (-(3pi)/2,-pi)` , then the value of `tan^(-1)(cotalpha)-cot^(-1)(tanalpha)+sin^(-1)(sinalpha)+cos^(-1)(cosalpha)` is equal to (a)`2pi+alpha` (b) `pi+alpha` (c) 0 (d) `pi-alpha`

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

If alpha in (-(pi)/(2), 0) , then find the value of tan^(-1) (cot alpha) - cot^(-1) (tan alpha)

(sqrt2-sinalpha-cosalpha)/(sinalpha-cosalpha) is equal to (a) sec(alpha/2-pi/8) (b) cos(pi/8-alpha/2) (c) tan(alpha/2-pi/8) (d) cot(alpha/2-pi/2)

If pi,t h e nsqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosalpha)) is equal to 2/(sinalpha) (b) -2/(sinalpha) (c) 1/(sinalpha) (d) -1/(sinalpha)

IF sin ^(16) alpha = 1/5 then the value of (1) /(cos ^2 alpha) +(1)/( 1 + sin ^2 alpha) +(2)/(1+ sin ^4 alpha) + ( 4 )/( 1+ sin ^8 alpha) is equal to

If 2 sin 2alpha=tan beta,alpha,beta, in((pi)/(2),pi) , then the value of alpha+beta is

lim_(alphato pi/4)(sinalpha-cosalpha)/(alpha-pi/4) is

The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x in (pi/2,pi) , is equal to (a) pi/2 (b) -pi (c) pi (d) -pi/2

The value of (alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec^2(1/2tan^(-1)(beta/alpha))i s equal to

The expression 3[sin^4(3/2pi-alpha)+sin^4(3pi+alpha)]-2[sin^6(1/2pi+alpha)+sin^6(5pi-alpha)] is equal to

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If tan^(-1)(x+3/x)-tan^(-1)(x-3/x)=tan^(-1)6/x , then the value of x^4...

    Text Solution

    |

  2. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n x^2+y^2+z^2+2x y z=1 2...

    Text Solution

    |

  3. If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cotalpha)-cot^...

    Text Solution

    |

  4. tan^(-1)[(cosx)/(1+sinx)] is equal to pi/4-x/2,forx in (-pi/2,(3pi)/2...

    Text Solution

    |

  5. The value of the expression sin^(-1)(sin(22pi)/7)+cos^(-1)(cos(5pi)/3)...

    Text Solution

    |

  6. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

    Text Solution

    |

  7. Complete solution set of tan^2(sin^(-1)x)>1 is (a)(-1,-1/(sqrt(2)))uu...

    Text Solution

    |

  8. The range of the values of p for which the equation sin cos^(-1) ( co...

    Text Solution

    |

  9. The sum of the solution of the equation 2sin^(-1)sqrt(x^2+x+1)+cos^(-1...

    Text Solution

    |

  10. Complete solution set of [cot^(-1)x]+2[tan^(-1)x]=0, where [] denote...

    Text Solution

    |

  11. The number of integer values of k for which the equation sin^(-1)x+tan...

    Text Solution

    |

  12. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3)) is...

    Text Solution

    |

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

    Text Solution

    |

  14. The number of real solution of the equation tan^(-1) sqrt(x^2-3x +7) +...

    Text Solution

    |

  15. For the equation cos^(-1)x+cos^(-1)2x+pi=0 , the number of real soluti...

    Text Solution

    |

  16. If sin^(-1)x=theta+betaa n dsin^(-1)y=theta-beta, then 1+x y is equal ...

    Text Solution

    |

  17. If sin^(-1)(x-1)+cos^(-1)(x-3)+tan^(-1)(x/(2-x^2))=cos^(-1)k+pi, then...

    Text Solution

    |

  18. The value of (lim)(xvecoo)(tan^(-1)x))) is equal to (a)-1 (b) pi/2 (...

    Text Solution

    |

  19. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (a)(pi/4,(3pi)/4) ...

    Text Solution

    |

  20. If [cot^(-1)x]+[cos^(-1)x]=0 , where [] denotes the greatest integer f...

    Text Solution

    |