Home
Class 12
MATHS
Directions Prove the following "tan"^(...

Directions Prove the following
`"tan"^(-1)1/(4)+"tan"^(-1)2/(9)=1/(2)"cos"^(-1)3/(5)=1/(2)"sin"^(-1)4/(5)`.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS|88 Videos

  • INTEGRATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (6 MARK)|4 Videos

  • LINEAR PROGRAMMING

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)|18 Videos

Similar Questions

Explore conceptually related problems

Solve the following equations "tan"^(-1)1/(3)+"tan"^(-1)1/(5)+"tan"^(-1)1/(7)+"tan"^(-1)x=pi/(4)

Prove that "tan"^(-1)(1/4)+"tan"^(-1)(2/9)=1/2"tan"^(-1)(4/3) .

Directions (Q. Nos. 16-25) Prove the following 2"tan"^(_1)1/(2)+"tan"^(-1)1/(7)="sin"^(-1)(31/(25sqrt(2))) .

Prove the "tan"^(-1) 1/(x+y) + "tan"^(-1) y/(x^2=xy+1) ="tan"^(-1)1/x

Directions (Q. Nos. 16-25) Prove the following "sin"^(-1)(5/(13))+"cos"^(-1)(3/(5))="tan"^(-1)(63/(16)) .

Prove the following "tan"^(-1)(2a-b)/(bsqrt(3))+"tan"^(-1)(2b-a)/(asqrt(3))=pi/(3)

Find the value of 4"tan"^(-1)1/(5)-"tan"^(-1)1/(239) .

Prove that "tan"^(-1)2/(11)+"tan"^(-1)7/(24)="tan"^(-1)1/(2) .

Prove that "tan"^(-1)1/(2)+"tan"^(-1)1/(5)+"tan"^(-1)1/8=pi/(4) .

Directions (Q. Nos. 16-25) Prove the following "cos"(2"tan"^(-1)1/(7))="sin"(4"tan"^(-1)1/(3)) .

ARIHANT PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -CHAPTER PRACTICE
  1. Directions (Q. Nos. 16-25) Prove the following "cos"^(-1)x="tan"^(-1...

    Text Solution

    |

  2. Directions (Q. Nos. 16-25) Prove the following 2"tan"^(1)1/(2)+"tan"...

    Text Solution

    |

  3. Prove that tan^(-1)((1)/(5)) +tan^(-1)((1)/(7)) +tan^(-1)((1)/(3)) +...

    Text Solution

    |

  4. Directions (Q. Nos. 16-25) Prove the following "sin"^(-1)(5/(13))+"c...

    Text Solution

    |

  5. Directions (Q. Nos. 16-25) Prove the following "cos"["tan"^(-1){"sin...

    Text Solution

    |

  6. Directions (Q. Nos. 16-25) Prove the following "cos"["sin"^(-1)(3/(5...

    Text Solution

    |

  7. Directions Prove the following "tan"^(-1)1/(4)+"tan"^(-1)2/(9)=1/(2)...

    Text Solution

    |

  8. Directions Prove the following "tan"^(-1)((sqrt(1+"cos"x)+sqrt(1-"c...

    Text Solution

    |

  9. Prove the following "tan"^(-1)((1-x)/(1+x))-"tan"^(-1)((1-y)/(1+y))=...

    Text Solution

    |

  10. Directions (Q. Nos. 16-25) Prove the following "cos"(2"tan"^(-1)1/(7...

    Text Solution

    |

  11. Simplify the following: "tan"^(-1)[x/(sqrt(a^(2)-x^(2)))],|x|lta.

    Text Solution

    |

  12. Solve the following equation: "cos"("tan"^(-1)x)="sin"("cot"^(-1)3/(...

    Text Solution

    |

  13. Directions (Q. Nos. 27 and 28) Solve the following equations: "tan"...

    Text Solution

    |

  14. Prove that tan^(-1)((cosx)/(1+sin x)) =(pi)/(4)-(x)/(2), x in (-(pi...

    Text Solution

    |

  15. Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2...

    Text Solution

    |

  16. Find the value of 4"tan"^(-1)1/(5)-"tan"^(-1)1/(239).

    Text Solution

    |

  17. Find the value of "tan"^(-1)("tan"(5pi)/(6))+"cos"^(-1)("cos"(13pi)/(6...

    Text Solution

    |

  18. Prove that 2"tan"^(-1)(sqrt((a-b)/(a+b))"tan"theta/(2))="cos"^(-1)((...

    Text Solution

    |

  19. If "sin"^(-1)(2a)/(1+a^(2))-"cos"^(-1)(1-b^(2))/(1+b^(2))="tan"^(-1)(2...

    Text Solution

    |

  20. Evaluate tan^(-1)((3sin 2alpha)/(5+3cos2alpha)) +tan^(-1)((1)/(4)tan a...

    Text Solution

    |