Home
Class 12
MATHS
Prove the following statements "cot"^(...

Prove the following statements
`"cot"^(-1)9+"cosec"^(-1)sqrt(41)/(4)=pi/(4)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |35 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT PUBLICATION|Exercise Part II (QUESTIONS FOR PRACTICE)|31 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

Prove statement "cot"^(-1) 9 + "cosec"^(-1) sqrt41/4 =pi/4

Prove the following statements "cos"" (tan"^(-1)"(cot"" (sin"^(-1)x)))=x

Write whether the following statements are true or false. "sec"^(-1)1/(2)+"cosec"^(-1)1/(2)=pi/(2)

Write whether the following statements are true or false. "tan"^(-1)2+"tan"^(-1)3=-pi/(4)

Show that: 4(cot^(-1)(3/2)+cosec^(-1)sqrt(26))=pi .

Write whether the following statements are true or false. "tan"^(-1)4/(3)+"cot"^(-1)((-3)/(4))=pi

Prove the following : cot22(1/2)^@=sqrt2+1

Prove statement "cos"" tan"^(-1) " cot sin"^(-1) x =x

Write whether the following statements are true of false. "sin"^(-1)1/(x)"cosec"^(-1)x=1

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

ARIHANT PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -ODISHA BUREAU.S TEXTBOOK SOLUTIONS
  1. Prove that "tan"^(-1)1/(2)+"tan"^(-1)1/(5)+"tan"^(-1)1/8=pi/(4).

    Text Solution

    |

  2. Prove statement tan ( 2 "tan"^(-1)1/5-pi/4) + 7/17 =0

    Text Solution

    |

  3. Prove the following statements "cot"^(-1)9+"cosec"^(-1)sqrt(41)/(4)=...

    Text Solution

    |

  4. Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).

    Text Solution

    |

  5. Prove statement 4 "tan"^(-1) 1/5 -"tan"^(-1) 1/70 + "tan"^(-1) 1/99 = ...

    Text Solution

    |

  6. Prove that 2"tan"^(-1)(1/(5))+"sec"^(-1)((5sqrt(2))/(7))+2"tan"^(-1)(1...

    Text Solution

    |

  7. Prove statement "cos"^(-1) 12/13 +2"cos"^(-1) sqrt(64/65) +"cos"^(-1) ...

    Text Solution

    |

  8. Prove statement"tan"^2 "cos"^(-1)1/sqrt3 +"cot"^2 "sin"^-1 1/sqrt5 =6

    Text Solution

    |

  9. Prove the following statements "cos"" (tan"^(-1)"(cot"" (sin"^(-1)x)...

    Text Solution

    |

  10. Prove statement "cot"^(-1)("tan"2x) +"cot"^(-1)(-"tan"2x) = pi

    Text Solution

    |

  11. Prove statement "tan"^(-1) x +"cot"^(-1)(x+1)="tan"^(-1)(x^2+x+1)

    Text Solution

    |

  12. Prove statement "tan"^(-1)((a-b)/(1+ab)) +"tan"^(-1)((b-c)/(1+bc)) ="...

    Text Solution

    |

  13. Prove statement "cot"^(-1)(pq+1)/(p-q) +"cot"^-1(qr+1)/(q-r) +"cot"^(-...

    Text Solution

    |

  14. Prove statement"tan"^(-1) (a-b)/(1+ab)+"tan"^(-1)(b-c)/(1+bc) +"tan"^-...

    Text Solution

    |

  15. Prove the following "tan"^(-1)(2a-b)/(bsqrt(3))+"tan"^(-1)(2b-a)/(as...

    Text Solution

    |

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

    Text Solution

    |

  17. Prove the "sin"^(-1) sqrt((x-q)/(p-q))="cos"^(-1)sqrt((p-x)/(p-q))="co...

    Text Solution

    |

  18. Prove the sin^2(sin^(-1) x+sin^(-1) y+sin^(-1)z) =cos^2 (cos^(-1)x +c...

    Text Solution

    |

  19. Prove the "tan"("tan"^(-1)x +"tan"^(-1) y + "tan"^(-1)z)="cot"("cot"^-...

    Text Solution

    |

  20. If "sin"^(-1)x+"sin"^(-1)y+"sin"^(-1)z=pi, show that xsqrt(1-x^(2))+ys...

    Text Solution

    |