Home
Class 11
MATHS
Prove that secx=2/(sqrt(2+sqrt(2+sqrt(2+...

Prove that `secx=2/(sqrt(2+sqrt(2+sqrt(2+2cos8x)))`

Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    UNITED BOOK HOUSE|Exercise EXERCISE|10 Videos

  • Hare School, Question Paper

    UNITED BOOK HOUSE|Exercise Exercise |33 Videos

Similar Questions

Explore conceptually related problems

Show that, sec x = 2/sqrt(2+sqrt2 + 2 cos 4 x)

Prove that 2sin(pi/8)=sqrt(2-sqrt2)

secx = - sqrt(2) .

Prove that sqrt2+sqrt2 is irrational .

Prove that sqrt(98) + sqrt8 - 2 sqrt(32) = sqrt2

Prove that tan(pi/(16))=sqrt(4+2sqrt(2))-(sqrt(2)+1)

Prove that sqrt(2+sqrt(2+2cos4theta))=2costheta

Prove that (12)/(3 + sqrt5 - 2 sqrt2) = 1 + sqrt5 + sqrt10 - sqrt2

Prove that tan^(-1) {(sqrt(1+cos x)+sqrt(1-cosx))/(sqrt(1+cos x)-sqrt(1-cosx))}=pi/4+x/2

If x>y prove that sqrt(y+sqrt(2xy-x^2))+sqrt(y-sqrt(2xy-x^2)) = sqrt(2x) .

UNITED BOOK HOUSE-HARE SCHOOL-EXERCISE
  1. Three positive numbers a,b,c are in A.P prove that 1/(sqrtb+sqrtc),1/(...

    Text Solution

    |

  2. If a1,a2,a3,...,aaare in A.P then show that 1/(a1a2)+1/(a2a3)+1/(a3a4)...

    Text Solution

    |

  3. If the roots of the equation p(q-r)x^2+q(r-p)x+r(p-q)=0 be equal ,show...

    Text Solution

    |

  4. Solve :barz=iz^2(z being a complex number)

    Text Solution

    |

  5. if alpha,beta,gamma are in A>P show that cot=(sinalpha-singamma)/(cosg...

    Text Solution

    |

  6. Prove that (1)/(2sin10^(@))-2sin70^(@)=1.

    Text Solution

    |

  7. Prove that 0le3costheta+4sintheta+5le10

    Text Solution

    |

  8. Show that 4(cos^3 10^@+sin^3 20^@)=3(cos10^@+sin20^@)

    Text Solution

    |

  9. If the equation x^2-cx+d=0and x^2-ax+b=0 have a common root,and the ro...

    Text Solution

    |

  10. If alphaand betaare roots of the equation qx^2+px+p=0,show that sqrt(a...

    Text Solution

    |

  11. If z1 and z2 be two complex numbers show that Re(barz1z2)=1/2(z1barz2+...

    Text Solution

    |

  12. Find the sum up to n terms :1+2/3+3/3^2+4/3^3+...

    Text Solution

    |

  13. If x^(1/a)=y^(1/b)=z^(1/c)where a,b,c are in A.P,,than show that x,y,z...

    Text Solution

    |

  14. If (acosthetasecphi-x)/(asin(theta+phi))=(y-bsinthetasecphi)/(bcos(th...

    Text Solution

    |

  15. IF A+B+C=pi,then prove that tan (A/2)tan(B/2)+tan(B/2)tan(C/2)+tan(C/2...

    Text Solution

    |

  16. Prove that secx=2/(sqrt(2+sqrt(2+sqrt(2+2cos8x)))

    Text Solution

    |

  17. Prove that tan20^@+4sin20^@=sqrt3

    Text Solution

    |

  18. A(1,2)and B(5,-2)are two points. P is a point moving in such a way tha...

    Text Solution

    |

  19. A variable straight line passes through the point of intersection of t...

    Text Solution

    |

  20. For three mutually exclusive events X,Yand Zit is given that P(x)=2P(Y...

    Text Solution

    |