Home
Class 12
MATHS
Prove that cos^(-1)[(cos alpha +cos beta...

Prove that `cos^(-1)[(cos alpha +cos beta)/(1+cos alpha cos beta)]=2tan^(-1)("tan"(alpha)/(2)"tan"(beta)/(2))`

Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 10

    ARIHANT PRAKASHAN|Exercise SECTION B (60 MARKS)|46 Videos

  • VERY SIMILAR TEST 1

    ARIHANT PRAKASHAN|Exercise Section C |10 Videos

  • VERY SIMILAR TEST 2

    ARIHANT PRAKASHAN|Exercise SECTION -C |13 Videos

Similar Questions

Explore conceptually related problems

Differentiate tan^(-1) ((x sin alpha)/(1-x cos alpha))

Prove that : "cos"^(-1) ((b+a "cos"x)/(a+b "cos"x)) =2"tan"^(-1)(sqrt((a-b)/(a+b)) "tan" x/2)

Evaluate tan^(-1)((3sin 2alpha)/(5+3cos2alpha)) +tan^(-1)((1)/(4)tan alpha) , where, -(pi)/(2) lt alpha lt (pi)/(2) .

If u=cot^(-1)sqrtcos alpha-tan^(-1)sqrt(cosalpha) then prove that sincup=tan^2(alpha/2) .

int 2 sin (alpha-beta) x sin (alpha+beta) x dx

Evaluate "cos"("tan"^(-1)3/(4))

ARIHANT PRAKASHAN-VERY SIMILAR TEST 10-SECTION C (30 MARKS)
  1. Evaluate int e^(x) ((1 + sin x cos x)/( cos^(2) x)) dx.

    Text Solution

    |

  2. Find the points on the line (x+2)/(3) = (y+1)/(2) = (z-3)/(2)  at a d...

    Text Solution

    |

  3. Prove that cos^(-1)[(cos alpha +cos beta)/(1+cos alpha cos beta)]=2tan...

    Text Solution

    |

  4. Answer any one question (b) A factory makes tennis rackets and crick...

    Text Solution

    |

  5. Let f : N rarr N be defined by f(n) = {{:((n+1)/(2), if "n is odd"),...

    Text Solution

    |

  6. Answer any one question (a) Determine the product [{:(-4,4,4),(7,1,3...

    Text Solution

    |

  7. Three cards are drawn successively, without replacement from a pack of...

    Text Solution

    |

  8. Find the inverse of the following matrix using elementary transformati...

    Text Solution

    |

  9. If x = sin^(-1) ((2t)/( 1 + t^(2) )) and y= tan^(-1) ((2t)/( 1-t^(2) )...

    Text Solution

    |

  10. Find the equations of the tangent to the curve y = x^(2) - 2x + 7, whi...

    Text Solution

    |

  11. Find the area of the region bounded by y=-1, y=2, x=y^(3) and x =0.

    Text Solution

    |

  12. Solve (dy)/(dx) = e^(x +y) + e^(-x +y).

    Text Solution

    |

  13. Evaluate int e^(x) ((1 + sin x cos x)/( cos^(2) x)) dx.

    Text Solution

    |

  14. Find the points on the line (x+2)/(3) = (y+1)/(2) = (z-3)/(2)  at a d...

    Text Solution

    |

  15. A variable plane is at a constant distance 3r from the origin and meet...

    Text Solution

    |

  16. Prove that cos^(-1)[(cos alpha +cos beta)/(1+cos alpha cos beta)]=2tan...

    Text Solution

    |

  17. Answer any one question (b) A factory makes tennis rackets and crick...

    Text Solution

    |

  18. Let f : N rarr N be defined by f(n) = {{:((n+1)/(2), if "n is odd"),...

    Text Solution

    |

  19. Answer any one question (a) Determine the product [{:(-4,4,4),(7,1,3...

    Text Solution

    |

  20. Answer any one question (b) Three cards are drawn successively, with...

    Text Solution

    |