Home
Class 12
MATHS
Prove the following : cot7(1/2)^@=sqrt6+...

Prove the following : `cot7(1/2)^@=sqrt6+sqrt3+sqrt2+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

Prove the following : cot37(1/2)^@=sqrt6-sqrt3-sqrt2+2

Prove the following : tan37(1/2)^@=sqrt6+sqrt3-sqrt2+2

Prove the following : cot22(1/2)^@=sqrt2+1

Prove the following : cos(pi/16)=1/2 sqrt(2+sqrt(2+sqrt2))

Solve the following: cos x+sqrt3sin x = sqrt2

Solve the following: sectheta-1=(sqrt2-1) tan theta

Directions Prove the following "tan"^(-1)((sqrt(1+"cos"x)+sqrt(1-"cos"x))/(sqrt(1+"cos"x)-sqrt(1-"cos"x)))=pi/(4)+x/(2) , if piltxlt(3pi)/(2) .

Solve the following: cos 2theta=(sqrt2+1)(costheta-frac{1}{sqrt2})

Prove that sin15^@ = (sqrt3-1)/(2sqrt2)

Find the principal value of the following "cot"^(-1)((-1)/(sqrt(3)))

MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Prove the following : cos20^@.cos40^@.cos60^@.cos80^@ = 1/16

    Text Solution

    |

  2. Prove the following : tan6^@.tan42^@.tan66^@.tan78^@ = 1

    Text Solution

    |

  3. Prove the following : cot7(1/2)^@=sqrt6+sqrt3+sqrt2+2

    Text Solution

    |

  4. Prove the following : cot22(1/2)^@=sqrt2+1

    Text Solution

    |

  5. Prove the following : cot37(1/2)^@=sqrt6-sqrt3-sqrt2+2

    Text Solution

    |

  6. Prove the following : tan37(1/2)^@=sqrt6+sqrt3-sqrt2+2

    Text Solution

    |

  7. Prove the following : cos(pi/16)=1/2 sqrt(2+sqrt(2+sqrt2))

    Text Solution

    |

  8. If sin A=K sin B, prove the tan frac{1}{2}(A-B)=frac{K-1}{K+1 }tan ...

    Text Solution

    |

  9. If a cos(x+a)=b cos(x-a) show that (a+b) tan x=(a-b) cot a

    Text Solution

    |

  10. An angle theta is divided into two parts alpha, beta such that tan alp...

    Text Solution

    |

  11. If sin theta +sin phi=a,cos theta+cos phi=b, show that sinfrac{theta+...

    Text Solution

    |

  12. If a cosalpha+bsin alpha=c=a cos beta+b sin beta then prove that fra...

    Text Solution

    |

  13. Prove that (frac{cosA+cosB}{sinA-sinB})^n+(frac{sinA+sinB}{cosA-cosB})...

    Text Solution

    |

  14. If (1-e)tan^2frac{beta}{2}=(1+e)tan^2frac{alpha}{2}. prove that cosbet...

    Text Solution

    |

  15. If costheta=(cosA-cosB)/(1-cosA cdotcosB) prove that one of the value...

    Text Solution

    |

  16. If tan theta=(sinxcdot siny)/(cos x + cos y) then prove that one of ...

    Text Solution

    |

  17. If sec(phi+alpha)+sec(phi-alpha)=2secphi show that cosphi=+-sqrt2cosfr...

    Text Solution

    |

  18. If tanA+tanB=a and cotA+cotB=b then show that cot(A+B)=1/a-1/b

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |