Home
Class 12
MATHS
if tanbeta=(nsinalphacosbeta)/(1-nsin^2a...

if `tanbeta=(nsinalphacosbeta)/(1-nsin^2alpha)` then prove that `tan(alpha-beta)=(1-n)tanalpha.`

A

`n tan alpha`

B

`(1-n)tan alpha`

C

`(1+n)tan alpha`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

if tan beta=(n sin alpha cos beta)/(1-n sin^(2)alpha) then prove that tan(alpha-beta)=(1-n)tan alpha

if tan beta=(n sin alpha cos beta)/(1-n sin^(2)alpha) then prove that tan(alpha-beta)=(1-n)tan alpha

If tan beta=(n sin alpha cos alpha)/(1-n sin^(2)alpha), show that tan(alpha-beta)=(1-n)tan alpha

If tan beta=(n sin alpha cos alpha)/(1-n sin^(2)alpha), show that tan(alpha-beta)=(1-n)tan alpha

If tan beta=(n tan alpha)/(1+(1-n)tan^(2)alpha), then tan(alpha-beta)=(1)(1+n)tan alpha(1-n)tan alpha( ii) -(1+n)tan alpha( iv) -(1-n)tan alpha

If tanbeta=(Q"sin"alpha)/(P+Qcosalpha) Prove that "tan"(alpha-beta)=(P"sin"alpha)/(Q+Pcosalpha)

if 2tan beta+cot beta=tan alpha then prove that cot beta=2tan(alpha-beta)

If cos theta=(cos alpha+cos beta)/(1+cos alpha cos beta), prove that (tan theta)/(2)=-(tan alpha)/(2)(tan beta)/(2)

If msintheta=nsin(theta+2alpha) , then prove that tan(theta+alpha)cotalpha=

If sin theta=n sin(theta+2 alpha), prove that tan(theta+alpha)=(1+n)/(1-n)tan alpha

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. In DeltaABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA Sin...

    Text Solution

    |

  2. If alpha, beta, gamma are acute angles and cos theta = sin beta//sin a...

    Text Solution

    |

  3. if tanbeta=(nsinalphacosbeta)/(1-nsin^2alpha) then prove that tan(alph...

    Text Solution

    |

  4. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

    Text Solution

    |

  5. The graph of the function, cos x cos (x +2) -cos^2 (x+1) is

    Text Solution

    |

  6. If f (theta) = |sin theta| + |cos theta|, theta in R, then

    Text Solution

    |

  7. If P=cos(cos x)+sin (cos x), then the least and greatest value of P re...

    Text Solution

    |

  8. If un=sin(n theta) sec^n theta,vn=cos(ntheta)sec^ntheta n in N n!=1 t...

    Text Solution

    |

  9. If 0lt=xlt=pi/3 then range of f(x)=sec(pi/6-x)+sec(pi/6+x) is (4/(sqrt...

    Text Solution

    |

  10. If A=sin^(8) theta + cos^(14) theta, then for all values of theta,

    Text Solution

    |

  11. Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(...

    Text Solution

    |

  12. The maximum value of sin(theta+pi/6)+cos(theta+pi/6) is attained at th...

    Text Solution

    |

  13. If cot^(2)x=cot(x-y)*cot(x-z), then cot2x is equal to (x!= pm pi/4)

    Text Solution

    |

  14. The minimum value of the expression sin alpha + sin beta+ sin gamma, ...

    Text Solution

    |

  15. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

    Text Solution

    |

  16. If cos^4 theta sec^2 alpha,1/2 and sin^4 theta cosec^2 alpha are in ...

    Text Solution

    |

  17. The maximum value of (cosalpha(1))(cosalpha(2))...(cosalpha(n)), under...

    Text Solution

    |

  18. Find the set of values of x , which satisfy sin x * cos^(3) x gt cos *...

    Text Solution

    |

  19. If u=sqrt(a^2cos^2theta+b^2sin^2theta)+sqrt(a^2sin^2theta+b^2cos^2thet...

    Text Solution

    |

  20. For a positive integer n , fn(theta)=(tantheta/2)(1+sectheta)(1+sec2th...

    Text Solution

    |