Home
Class 12
MATHS
Show that 2^ncostheta cdot cos2thetacd...

Show that
`2^ncostheta cdot cos2thetacdotcos2^2theta......cos2^(n-1)theta=1`
`if theta=pi/(2^n+1)`

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

Show that (2costheta-1) (2cos2theta-1) (2cos2^2theta-1)……(2cos2^(n-1)theta-1) = (2cos2^ntheta+1)/(2costheta+1)

Solve the following: cot^2theta-tan^2theta=4cot 2theta

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

int_0^(pi/2)cos^9thetad theta

Find the general value of theta" if"(cos theta+isintheta)("cos"2theta+isin2theta)…….. ("cos"ntheta+isin ntheta)=1

Solve the following: cos 2theta - cos theta = sin theta - sin 2theta

What is the value of abs([sin^2theta,cos^2theta,1],[cos^2theta,sin^2theta,1],[-10,12,2]) ?

Evaluate int sec^2 theta/(cos2 theta+2sin^2 theta)d theta

If x = 2costheta-cos2theta , y = 2sintheta-sin2theta then find d^(2)y/dx^(2) at theta =pi/2 .

MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If A+B+C=pi, then prove the following. sin(B+2C)+sin(C+2A)+sin(A+2B)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. The number of solutions of 2sintheta-1=0 is.

    Text Solution

    |

  9. If cosalpha=cosbeta, then alpha+beta=

    Text Solution

    |

  10. The number of solution(s) of 2sectheta+1=0 is.

    Text Solution

    |

  11. If tantheta=tanalpha and 90ltalphalt180, then ' theta ' can be in th...

    Text Solution

    |

  12. If tanx cdot tan 2x cdot tan 7x =tanx+tan2x+tan7x, then x=

    Text Solution

    |

  13. For value of theta, sintheta+costheta=sqrt2

    Text Solution

    |

  14. The number of values of x for which cos^2x=1 and x^2le 4 is

    Text Solution

    |

  15. In the 1st quardrant the solution of tan^2theta=3 is

    Text Solution

    |

  16. The least positive value of theta for which 1 + tan theta=0 and sqrt2 ...

    Text Solution

    |

  17. The least positive value of x for which tan 3x=tan x is

    Text Solution

    |

  18. Find the principal solution of the following equations:sintheta=sin2th...

    Text Solution

    |

  19. Find the principal solution of the following equations:sqrt3 sintheta-...

    Text Solution

    |

  20. Find the principal solution of the following equations:cos^2theta+sint...

    Text Solution

    |