Home
Class 11
MATHS
Prove that: t a nalpha+2tan2alpha+4tan4a...

Prove that: `t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

prove that : tan(alpha)+2 tan(2alpha) +4(tan4alpha)+8cot(8alpha) = cot(alpha)

tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =

1/(tan3alpha-tanalpha)-1/(cot3alpha-cotalpha)=cot2alpha

Prove that cot alpha - tan alpha =2 cot 2 alpha.

Statement I tan alpha+2tan 2 alpha+4 tan 4 alpha + 8 tan 8 alpha+16 cot 16 alpha=cot alpha Statement II cot alpha- tan alpha=2 cot 2 alpha

If alpha=[2pi]/7 then tanalphatan2alpha+tan2alphatan4alpha+tan2alphatan4alpha=

If alpha=pi/(14), then the value of (tanalphatan2alpha+tan2alphatan4alpha+tan4alphatanalpha) is 1 (b) 1//2 (c) 2 (d) 1//3

Which of the following identities, wherever defined, hold(s) good? (a)cotalpha-tanalpha=2cot2alpha (b)tan(45^0+alpha)-tan(45^0-alpha)=2cos e c2alpha (c)tan(45^0+alpha)+tan(45^0-alpha)=2sec2alpha (d)tanalpha+cotalpha=2tan2alpha

Prove that: tan^2theta=tan^2alpha ,theta=npi+-alpha,n in Z

tanalpha.tan(60^@-alpha).tan(60^@+alpha)=tan3alpha

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. If tan(pi/4+theta/2)=tan^3(pi/4+alpha/2) then sin(theta)=(sin(alpha)(...

    Text Solution

    |

  2. If sin(theta+alpha)=a, a n dsin(theta+beta)=b , prove that cos2(alpha-...

    Text Solution

    |

  3. Prove that: t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha

    Text Solution

    |

  4. If t a nalpha=p/q , where alpha=6beta,alpha being acute angle, prove...

    Text Solution

    |

  5. If costheta=cosalphacosbeta , prove that t a n(theta+alpha)/2t a n(th...

    Text Solution

    |

  6. If t a ntheta/2=sqrt((a-b)/(a+b))tanvarphi/2 , prove that costheta=(a ...

    Text Solution

    |

  7. Prove that: (2cos2^ntheta+1)/(2costheta+1)=(2costheta-1)(2cos2theta-1)...

    Text Solution

    |

  8. If t a ntheta/2=sqrt((a-b)/(a+b))tanvarphi/2 , prove that costheta=(a ...

    Text Solution

    |

  9. Prove that: sin3e sin^3e+cos3ecos^3e=cos^3 2e

    Text Solution

    |

  10. If cosalpha+cosbeta+cosgamma=0 , then prove that cos3alpha+cos3beta+co...

    Text Solution

    |

  11. If costheta=(cosalpha cosbeta)/(1-sinalphasinbeta) , prove that one va...

    Text Solution

    |

  12. If costheta=(cosalpha-cosbeta)/(1-cosalpha.cosbeta) , prove that t a ...

    Text Solution

    |

  13. sin5A=5cos^4AsinA-10cos^2Asin^3A+sin^5A

    Text Solution

    |

  14. Prove that: cos5A=16cos^5A-20cos^3A+5cosA

    Text Solution

    |

  15. Prove that: sin18^0=(sqrt(5)-1)/4 .

    Text Solution

    |

  16. Prove that: |sintheta."sin"(60-theta).sin(60+theta)|lt=1/4 for all val...

    Text Solution

    |

  17. Prove that: (sin2theta)/(1+cos2theta)=t a ntheta

    Text Solution

    |

  18. Prove that sin(2theta)/(1-cos2theta)=cot theta

    Text Solution

    |

  19. Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

    Text Solution

    |

  20. Prove that: (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cot theta

    Text Solution

    |