Home
Class 12
MATHS
tan^(-1) ""((1)/(2)tan 2A)+tan ^(-1)(cot...

`tan^(-1) ""((1)/(2)tan 2A)+tan ^(-1)(cotA)+tan^(-1)(cot^(3)A)`
`={{:(0"when "(pi)/(4)ltAle(pi)/(2)),(pi"when "0 le Ale (pi)/(4)):}`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise sample questions for competive examination|20 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise Short answer type questions|45 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

Prove that: tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A) =0

tan ^(-1) ""(1)/(x)+tan ^(-1) ""2=(pi)/(2)

tan^(-1)""(3)/(2) +tan^(-1)""(6)/(5)=pi - tan^(-1)""(27)/(8)

tan^(-1) (cot x) +cot^(-1)(tan x) =pi -2x

If 0leAle(pi)/(4)," then " tan^(-1)((1)/(2)tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A) is equal to

tan ^(-1) ""(x-1)/(x-2) + tan ^(-1) ""(x+1)/(x+2)=(pi)/(4)

tan ^(-1) ""(1)/(3) + tan^(-1)""(1)/(7)+tan ^(-1)""(1)/(5)+tan ^(-1)""(1)/(8)=(pi)/(4)

Find the value of tan^-1(1/2tan2A)+tan^-1(cotA)+tan^-1(cot^3A) , for 0 lt A lt pi//4

tan ^(-1) (cot x) + cot ^(-1) (tan x) =(pi)/(4)

Solve: tan^(-1)(cotx)+cot^(-1)(tanx)= pi/4

CHHAYA PUBLICATION-TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS-Long answer type questions
  1. 3tan ^(-1) ""(1)/(2+sqrt(3))-tan ^(-1)""(1)/(2)=tan^(-1 )""(1)/(3)

    Text Solution

    |

  2. cos^(-1)""(3)/(5) +cos ^(-1) "" (12)/(13) +cos ^(-1) "" (63)/(65)=(pi)...

    Text Solution

    |

  3. tan^(-1) ""((1)/(2)tan 2A)+tan ^(-1)(cotA)+tan^(-1)(cot^(3)A) ={{:(0"...

    Text Solution

    |

  4. 2 tan ^(-1) (sqrt((a-b)/(a+b))tan""(x)/(2))=cos^(-1)""(acos x+b)/(a+b ...

    Text Solution

    |

  5. tan ( 2 tan ^(-1)sqrt((1+cos theta)/(1-cos theta)))+ tan theta =0

    Text Solution

    |

  6. tan ^(-1) ""{(sqrt(1+cos x)+sqrt(1-cos x)}/{sqrt(1+cosx)-sqrt(1-cos x)...

    Text Solution

    |

  7. cos ^(-1) ""((cos x + cos y)/(1+cos x cos y))= 2 tan ^(-1) (tan ...

    Text Solution

    |

  8. (1)/(2)cos ^(-1)""((5 cos x +3)/(5+3 cos x))= tan^(-1)""((1)/(2)tan "...

    Text Solution

    |

  9. tan ^(-1)""(1-x)/(1+x)- tan ^(-1 )""(1-y)/(1+y) = sin ^(-1) ""(y-x)/(...

    Text Solution

    |

  10. If cos ^(-1) x+ cos ^(-1) y= theta , show that x^(2)-2xycos thet...

    Text Solution

    |

  11. If sin ( pi cos theta ) = cos (pi sin theta ), , then sho...

    Text Solution

    |

  12. Prove that , a cos theta + b sin theta = sqrt(a^(2) +b^(2) ) cos ...

    Text Solution

    |

  13. IF 2 cos 4 theta + 9 cos 2 theta -7=0 , then show that , theta ...

    Text Solution

    |

  14. cot ^(-1)""x+cot^(-1)""2x=(3pi)/(4)

    Text Solution

    |

  15. cot ^(-1)x+cot^(-1)(a^(2)-x+1)=cot ^(-1)(a-1)

    Text Solution

    |

  16. tan ^(-1)""(1-x)/(1+x)""=(1)/(2) sin ^(-1)""(x)/(sqrt(1+x^(2)))

    Text Solution

    |

  17. sin ^(-1) x+sin ^(-1) (1-x) = cos ^(-1) x

    Text Solution

    |

  18. cos^(-1) ""(5)/(x)+cos^(-1) ""(12)/(x)=(pi)/(2)

    Text Solution

    |

  19. 3 cot ^(-1)""(1)/(2-sqrt(3))+cot ^(-1)""x=(pi)/(2)

    Text Solution

    |

  20. sin^(-1)x+sin ^(-1)""2x=(pi)/(3)

    Text Solution

    |