Home
Class 11
MATHS
(tan ((pi)/(4) +x))/( tan ((pi)/(4) -x )...

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

Text Solution

Verified by Experts

`(tan(45^@+x))/(tan(45^@-x))=(((1+tanx)/(1-tanx)))/(((1-tanx)/(1+tanx)))=((1+tanx)/(1-tanx))^2`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    PATHFINDER|Exercise QUESTION BANK|241 Videos

Similar Questions

Explore conceptually related problems

tan 4x = (4 tan x (1- tan ^(2) x ))/( 1 - 6 tan ^(2) x + tan ^(4) x)

tan(pi/4 + theta) + tan(pi/4-theta)=4

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

prove that tan ^(-1)"" (1)/(4) + tan ^(-1) ""(2)/(9) + tan ^(-1) "" (1)/(5) + tan ^(-1) ""(1)/(8) =(pi)/(4).

"tan"^(2)(pi)/(4) "sin"(pi)/(3) "tan"(pi)/(6) "tan"^(2)(pi)/(3) =

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

2 tan ^(-1) ""(2x)/(1-x^(2))=(pi)/(3)

Show that tan 3x tan 2x tan x = tan 3x - tan 2x - tan x

lim_(x->pi/4)(tan2(x-pi/4))/(x-pi/4)

if tan( (pi)/9),x, tan ((5pi)/18) are in A.P. and tan(pi/9), y,tan ((7pi)/18) are also in A.P. then find the relation between x and y

PATHFINDER-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-QUESTIONBANK
  1. Prove that tan54^@=(cos9^@+sin9^@)/(cos9^@-sin9^@)

    Text Solution

    |

  2. Evaluate:"sin"pi/4"cos"pi/(12)+"cos"pi/4"sin"pi/(12)

    Text Solution

    |

  3. (tan ((pi)/(4) +x))/( tan ((pi)/(4) -x ))= ((1 + tan x )/( 1- tan x ))...

    Text Solution

    |

  4. Prove that sin^2(pi/8+A/2)-sin^2(pi/8-A/2)=1/sqrt2sinA

    Text Solution

    |

  5. Find the value of tan15^@

    Text Solution

    |

  6. Prove that sin^2(n+1)A-sin^2nA=sin(2n+1)AsinA

    Text Solution

    |

  7. If tan(A+B)=x and tan(A-B)=y find the value of tan2A.

    Text Solution

    |

  8. If log(b) n = 2 and og(n) 2b = 2, then find the value of b.

    Text Solution

    |

  9. Prove that (tan69^@+tan66^@)/(1-tan69^@tan66^@)=-1.

    Text Solution

    |

  10. If tanA=5/6 and tanB=1/(11), Prove that A+B=pi/.4

    Text Solution

    |

  11. Prove that sin^2B=sin^2A+sin^2(A-B)-2sinAcosBsin(A-B)

    Text Solution

    |

  12. Prove that cos^2A+cos^2B-2cosAcosBcos(A+B)=sin^2(A+B).

    Text Solution

    |

  13. Prove that tan8theta-tan6theta-tan2theta=tan8thetatan6thetatan2theta.

    Text Solution

    |

  14. If tanA+tanB=a and cotA+cotB=b.Prove that cot(A+B)=1/a-1/b

    Text Solution

    |

  15. If tanx+tan(x+pi/3)+tan(x+(2pi)/3)=3 then prove that (3tanx-tan^3x)/(1...

    Text Solution

    |

  16. cos(beta-gamma)+cos(gamma-alpha)+cos(alpha-beta)=-3/2 show that cosalp...

    Text Solution

    |

  17. If tan(picostheta)=cot(pisintheta) Prove that sin(theta+pi/4)=1/(2sqrt...

    Text Solution

    |

  18. Let tan alpha = a/(a+1) and tan beta =1/(2a +1), then alpha + beta is:

    Text Solution

    |

  19. If theta lies in the 1st quadrant and costheta=8/(17) then prove that ...

    Text Solution

    |

  20. If alpha, beta are the solutions of the equation a tantheta+b secthet...

    Text Solution

    |