Home
Class 11
MATHS
Prove that : "tan"(pi/(4)+1/(2)"cos"^(-1...

Prove that : `"tan"(pi/(4)+1/(2)"cos"^(-1)a/(b))+"tan"(pi/(4)-1/(2)"cos"^(-1)a/(b))=(2b)/(a)`.

A

`(2a)/b`

B

`(2b)/a`

C

`a/b`

D

`b/a`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

Prove that "sin"^(2)(pi)/(6)+"cos"^(2)(pi)/(3)-"tan"^(2)(pi)/(4)=(-1)/(2)

Prove that 2tan^(-1)""(3)/(4)-tan^(-1)""(17)/(31)=(pi)/(4)

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

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

Prove that : tan^-1(3/4) + tan^-1(3/5)- tan^-1(8/19) = pi/4

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

Prove that tan^(-1)""(2)/(11)+tan^(-1)""(7)/(24)=(1)/(2)cos^(-1)""(3)/(5)

Prove that sin^2(pi/4) + cos^2(pi/6) - tan^2(pi/4) = 1/4

Prove that: sin^2frac (pi)(6)+cos^2frac (pi)(3)-tan^2frac (pi)(4)=-1/2

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Consider the system of equations in x, y, z as x sin 3 theta-y + z=0, ...

    Text Solution

    |

  2. Prove that cos^(4) .(pi)/(8) + cos^(4).(3pi)/(8)+cos^(4).(5pi)/(8)+c...

    Text Solution

    |

  3. Prove that : "tan"(pi/(4)+1/(2)"cos"^(-1)a/(b))+"tan"(pi/(4)-1/(2)"cos...

    Text Solution

    |

  4. The equation sqrt3 sinx+cos x=4 has:

    Text Solution

    |

  5. The value of cos 15^@ cos 7 1^@/2 sin 7 1^@/2 is:

    Text Solution

    |

  6. The most general values of 'x' for which sin x + cos x =underset( a i...

    Text Solution

    |

  7. If a= 2 sqrt2, b= 6, A = 45^@, then:

    Text Solution

    |

  8. In triangle ABC, if sin Asin B=(ab)/c^2, then the triangle is :

    Text Solution

    |

  9. The value of : (1+cos frac (pi)(6)) (1+cos frac (pi)(3))(1+cos frac (2...

    Text Solution

    |

  10. P=1/2 sin^2 theta+1/3 cos^2 theta, then :

    Text Solution

    |

  11. The smallest value of 5 cos theta+ 12 is :

    Text Solution

    |

  12. Smallest form of 2/(sqrt(2+sqrt(2+sqrt(2+2 cos4x)))) is :

    Text Solution

    |

  13. If 5 cos 2 theta +2 cos^2 (theta/2)+1=0, when (0 ltthetalt pi), then t...

    Text Solution

    |

  14. If aa n db are positive quantities such that a > b , the minimum value...

    Text Solution

    |

  15. If A+B=45^@ then then (cot A- 1) (cot B- 1) is equal to :

    Text Solution

    |

  16. The solution of the equation : [sin x + cos x]^(1+sin2x)=2, -pi lexle ...

    Text Solution

    |

  17. If sin A- sqrt6 cos A= sqrt7 cosA, then: cosA+ sqrt6 sinA is equal to...

    Text Solution

    |

  18. If tan A and tan B are the roots of abx^2- c^2x + ab= 0, where a, b, c...

    Text Solution

    |

  19. In a Delta ABC, if a =3, b=4, c=5, then find the distance between its ...

    Text Solution

    |

  20. In triangle ABC the value of (cot frac (A)(2) cot frac (B)(2)-1) /(cot...

    Text Solution

    |