Home
Class 12
MATHS
Prove that, cot 7 1/2 ^@ or tan 82 1/2 ^...

Prove that, `cot 7 1/2 ^@` or `tan 82 1/2 ^@ = (sqrt(3)+sqrt(2))(sqrt(2)+1)` or `sqrt(2)+sqrt(3)+sqrt(4)+sqrt(6)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|22 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

x=sqrt(1+2sqrt(1+3sqrt(1+4sqrt(1+...

Show that cot (142\ 1/2) ^@ = sqrt(2) + sqrt(3) - 2 - sqrt(6)

Find the value of (sqrt(3)+sqrt(2))^(6)+(sqrt(3)-sqrt(2))^(6)

4sqrt(3sqrt2^2) equals

Simplify: (sqrt3+sqrt2)/(sqrt3-sqrt2)+(sqrt3-sqrt2)/(sqrt3+sqrt2)

Add: (3sqrt3-sqrt2+sqrt5) and (2sqrt2+5sqrt3-7sqrt5)

If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 from its center is r , then r is equal to 3+sqrt(3) (b) 2+sqrt(2) (sqrt(2))/(sqrt(3-sqrt(5))) (d) sqrt(2-sqrt(2))

(sqrt(2) + 1)^(6) - (sqrt(2) -1)^(6) is equal to

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Subjective Type Questions)
  1. Prove that, cot 7 1/2 ^@ or tan 82 1/2 ^@ = (sqrt(3)+sqrt(2))(sqrt(2)+...

    Text Solution

    |

  2. If m sin (alpha-beta) = cos (alpha-beta), prove that (1)/(1- m sin 2...

    Text Solution

    |

  3. If alpha, beta, gamma are the roots of the cubic x^(3)-px^(2)+qx-r=0 ...

    Text Solution

    |

  4. The set of values of a for which the equation Sin^4 x + Cos^4 x = a ha...

    Text Solution

    |

  5. If aa n db are positive quantities such that a > b , the minimum value...

    Text Solution

    |

  6. If alpha+beta+gamma=2pi, then show that tan.alpha/2 + tan.beta/2 + tan...

    Text Solution

    |

  7. Eliminate theta from the equations tan(n theta+alpha)-tan(n theta+b...

    Text Solution

    |

  8. Let f(x)=cos(a1+x)+1/2cos(a2+x)+1/(2^2)cos(a1+x)++1/(2^(n-1))cos(an+x)...

    Text Solution

    |

  9. Eliminate theta from the equations tan(n theta+alpha)-tan(n theta+b...

    Text Solution

    |

  10. lf cos^2 alpha -sin^2 alpha = tan^2 beta, then show that tan^2 alpha...

    Text Solution

    |

  11. If A, B, C are the angle of a triangle and |(sinA,sinB,sinC),(cosA,...

    Text Solution

    |

  12. In any DeltaABC, prove that Sigma (sqrt(sinA))/(sqrt(sinB)+sqrt(sinC...

    Text Solution

    |

  13. Find all value of theta which satisfy, sin ( 3 theta + alpha ) + si...

    Text Solution

    |

  14. If the quadratic equation , 4^(sec^(2)alpha) x^(2) + 2x + (beta^(2)-...

    Text Solution

    |

  15. If 2costheta=x+1/x, prove that 2cos3theta=x^3+1/x^3

    Text Solution

    |

  16. If (cos theta(1))/(cos theta(2))+(sin theta(1))/(sin theta(2))=(cos th...

    Text Solution

    |

  17. Prove that sum(k=1)^(n-1) ""^(n)C(k)[cos k x. cos (n+k)x+sin(n-k)x.s...

    Text Solution

    |

  18. Solve sin 2x gt sqrt(2) sin^(2) x+ (2-sqrt(2))cos^(2)x

    Text Solution

    |

  19. The number of solutions of the equation cos[x]=e^(2x-1), x in [0, 2pi]...

    Text Solution

    |

  20. Prove that: sum(r=0)^(n) 3^( r) ""^(n)C(r) = 4^(n).

    Text Solution

    |