Home
Class 12
MATHS
If tanbeta=(n^2sinalpha cdot cosalpha)/(...

If `tanbeta=(n^2sinalpha cdot cosalpha)/(1-n^2sin^2alpha)`
then show that `tan(alpha-beta)/(tanalpha)=1-n^2`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MBD PUBLICATION|Exercise QUESTION BANK|523 Videos

  • VECTORS

    MBD PUBLICATION|Exercise QUESTION BANK|138 Videos

Similar Questions

Explore conceptually related problems

If 2tanalpha=3tanbeta , then prove that then show that tan(alpha-beta)=(sin2beta)/(5-cos2beta)

int(cos2x-cos2alpha)/(cosx-cosalpha)dx

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

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

If x=alphasin2t(1+cos2t) and y=betacos 2t(1-cos2t) , then show that (dy)/(dx)=(beta)/(alpha)tan t .

If sin^4alpha/a+cos^4alpha/b=1/(a+b) show that sin^8alpha/a^3+cos^8alpha/b^3=1/((a+b)^3)

Prove the following : cos^2(alpha/2)(1-2cosalpha)^2+sin^2(alpha/2)(1+2cosalpha)^2 =1

If (1-e) tan^2frac{beta}{2}=(1+e)tan^2frac{alpha}{2} . prove that cosbeta=(cosalpha-e)/(1-ecosalpha)

If alpha,beta are acute angles and cos2alpha=(3cos2beta-1)/(3-cos2beta) , then prove that tan alpha=sqrt2 tan beta

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

MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If tanA+tanB=a and cotA+cotB=b then show that cot(A+B)=1/a-1/b

    Text Solution

    |

  2. If cottheta=cos(x+y)andcotphi=cos(x-y) then show that tan(theta-phi)=...

    Text Solution

    |

  3. If tanbeta=(n^2sinalpha cdot cosalpha)/(1-n^2sin^2alpha) then show th...

    Text Solution

    |

  4. If 2tanalpha=3tanbeta, then prove that then show that tan(alpha-bet...

    Text Solution

    |

  5. If alpha,beta are acute angles and cos2alpha=(3cos2beta-1)/(3-cos2be...

    Text Solution

    |

  6. If A+B+C=pi, then prove the following. cos2A+cos2B+cos2C+1+4cosA cdo...

    Text Solution

    |

  7. If A+B+C=pi, then prove the following. sin2A+sin2B-sin2C=4cosA cdot ...

    Text Solution

    |

  8. If A+B+C=pi, then prove the following. cosA+cosB+cosC=1+4sinfrac{1}{...

    Text Solution

    |

  9. If A+B+C=pi, then prove the following. sinA+sinB-sinC=4sinfrac{1}{2}...

    Text Solution

    |

  10. If A+B+C=pi, then prove the following. cos^2A+cos^2B+2cosA cdot cosB...

    Text Solution

    |

  11. If A+B+C=pi, then prove the following. sin^2frac{A}{2}+sin^2frac{B}{...

    Text Solution

    |

  12. If A+B+C=pi, then prove the following. sinfrac{A}{2}+sin frac{B}{2}+...

    Text Solution

    |

  13. If A+B+C=pi, then prove the following. cos^2frac{A}{2}+cos^2frac{B}{...

    Text Solution

    |

  14. If A+B+C=pi, then prove the following. sin(B+2C)+sin(C+2A)+sin(A+2B)...

    Text Solution

    |

  15. Show that (2costheta-1) (2cos2theta-1) (2cos2^2theta-1)……(2cos2^(n-1)t...

    Text Solution

    |

  16. Show that 2^ncostheta cdot cos2thetacdotcos2^2theta......cos2^(n-1)t...

    Text Solution

    |

  17. Prove that tan2^ntheta/(tantheta) =(1+sec2theta)(1+sec2^2theta)....(1+...

    Text Solution

    |

  18. If x+y+z=xyz, prove that x/(1-x^2)+ y/(1-y^2)+z/(1-z^2) =(4xyz)/((1-x...

    Text Solution

    |

  19. If x+y+z=xyz, prove that (3x-x^3)/(1-3x^2)+(3y-y^3)/(1-3y^2)+(3z-z^3)/...

    Text Solution

    |

  20. Ifsin^4alpha/a+cos^4alpha/b=1/(a+b) show that sin^8alpha/a^3+cos^8alph...

    Text Solution

    |