Home
Class 12
MATHS
prove that tan((pi)/(4)+(1)/(2) cos ^(-...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 4|17 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise Very short answer type Questions|39 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)/(4) + tan ^(-1) ""(2)/(9) + tan ^(-1) "" (1)/(5) + tan ^(-1) ""(1)/(8) =(pi)/(4).

prove that , 4 tan ^(-1) ""(1)/(5) -tan ^(-1 )""(1)/(70) + tan ^(-1) ""(1)/(99) = (pi)/(4) .

4 ( tan ^(-1) ""(1)/(3) + cos ^(-1)""(2)/(sqrt(5)))=pi

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

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

cos^(-1) tan(-(5pi)/(4))

The value of tan (pi/4 + 1/2 cos^-1(2/3))+tan(pi/4 - 1/2 cos^-1 (2/3)) is

Prove that, tan^(-1)((3 sin 2x)/(5+3 cos 2x))+tan^(-1)((1)/(4) tan x)=x .

Prove that, 2 "sin"^(-1)(2)/(sqrt(13))+(1)/(2) "cos"^(-1)(7)/(25)+"tan"^(-1)(63)/(16)=pi

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

CHHAYA PUBLICATION-TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS-sample questions for competive examination
  1. prove that tan((pi)/(4)+(1)/(2) cos ^(-1)""(a) /(b) )+tan ((pi)/(4) ...

    Text Solution

    |

  2. The values of x satisfying sin ^(-1) x+ sin ^(-1) (1-x) = cos^(-...

    Text Solution

    |

  3. sin^(-1)x gt cos^(-1)x golds for -

    Text Solution

    |

  4. If "cosec" ^(-1) x = sin ^(-1) ((1)/(x)) then x may be -

    Text Solution

    |

  5. 2 cot ^(-1) 7+ cos ^(-1) ((3)/(5)) is equal to -

    Text Solution

    |

  6. theta = tan ^(-1)(2 tan ^(2) theta )- tan ^(-1) ((1)/(3) tan theta...

    Text Solution

    |

  7. tan {2tan ^(-1)""((1)/(5))-(pi)/(4)} is equal to -(k )/(17) then f...

    Text Solution

    |

  8. IF sin ^(-1) x sin ^(-1) y =(2pi )/(3) then cos ^(-1) y =(pi)/(l...

    Text Solution

    |

  9. If cos^(-1)x + cos^(-1)y + cos^(-1)z = 3pi, then xy + yz +zx is equal ...

    Text Solution

    |

  10. The value of tan ^(-1) (1) + cos ^(-1) (-(1)/(2) ) + sin ^(-1) (-...

    Text Solution

    |

  11. The value of tan {(cos^(-1)(-(2)/(7))-(pi)/(2))}is (2)/(3sqrt(m)), f...

    Text Solution

    |

  12. Find prinicipal values for inverse circular functions cos ^(-1) ...

    Text Solution

    |

  13. Find prinicipal values for inverse circular functions sin^(-1)(sin...

    Text Solution

    |

  14. Find prinicipal values for inverse circular functions tan ^(-1) ...

    Text Solution

    |

  15. Find prinicipal values for inverse circular functions tan ^(-1) ...

    Text Solution

    |

  16. Find prinicipal values for inverse circular functions cos^(-1)(cos...

    Text Solution

    |

  17. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

    Text Solution

    |

  18. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

    Text Solution

    |

  19. Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trig...

    Text Solution

    |

  20. Find the general value of sin^-1(sqrt3/2)

    Text Solution

    |

  21. Statement -I : tan ^(-1)""((3)/(4))+tan ^(-1) ""((1)/(7))= (pi)/(4) s...

    Text Solution

    |