Home
Class 11
MATHS
If tan.(pi)/(24)=(sqrt(p)-sqrt(q))(sqrt(...

If `tan.(pi)/(24)=(sqrt(p)-sqrt(q))(sqrt(r )-s)`, then the value of p+q+r+s is

Text Solution

Verified by Experts

`p=3, q=2, r=2, s=1`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JA)|16 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JM)|8 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (O-1)|43 Videos
  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

If sin((23pi)/(24))=sqrt((2sqrtp-sqrtq-1)/(4sqrtr)) , then the value of (p^(2)+q^(2)-r^(2)) is equal to

If p=(sqrt(q)+z)/(r^(2)+z) , what is the value of z in terms of p, q, and r ?

If s = t + sqrt((r^(3))/(q)) , what is the value of r in terms of q, s and t ?

Find the positive integers p, q, r, s satisfying tan (pi/24)=(sqrt(p)-sqrt(q))(sqrt(r)-s)

sum_(r=1)^nsin^(-1)((sqrt(r)-sqrt(r-1))/(sqrt(r(r+1)))) is equal to (a) tan^(-1)(sqrt(n))-pi/4 (b) tan^(-1)(sqrt(n+1))-pi/4 (c) tan^(-1)(sqrt(n)) (d) tan^(-1)(sqrt(n)+1)

If solution of cot(sin^(-1)sqrt(1-x^(2)))=sin(tan^(-1)(xsqrt(6))),x!=0 is 1/psqrt(q/r) where p,q,r are prime then value of (p+q-r)/p is

If p+r=mq and (1)/(q)+(1)/(s)=(m)/(r ), then prove that : p:q=r:s .

If S_(r) = sqrt(r+ sqrt(r+sqrt(r+sqrt(......oo)))) , r gt 0 then which the following is\are correct.

If P=2+sqrt3 , Q=2-sqrt3 , then P/Q=?

A satellite of mass m orbits the earth in an elliptical orbit having aphelion distance r_(a) and perihelion distance r_(p) . The period of the orbit is T. The semi-major and semi-minor axes of the ellipse are (r_(a) + r_(p))/(2) and sqrt(r_(p)r_(a)) respectively. The angular momentum of the satellite is: (A) (2m pi (r_(B)+r_(p)) sqrt(r_(a) r_(p)))/T (B) (m pi (r_(a)+r_(p)) sqrt(r_(a) r_(p)))/(2T) (C) (m pi (r_(a)+r_(p)) sqrt(r_(a)r_(p)))/(4T) (D) (mpi (r_(a)+r_(p)) sqrt(r_(a)r_(p)))/T

ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (S-1)
  1. Prove that: s in^4pi/8+s in^4(3pi)/8+s in^4(5pi)/8+s in^4(7pi)/8=3/2

    Text Solution

    |

  2. If x=sin(theta+(7pi)/(12))+sin(theta+pi/(12))+sin(theta+(3pi)/(12))dot...

    Text Solution

    |

  3. If tan.(pi)/(24)=(sqrt(p)-sqrt(q))(sqrt(r )-s), then the value of p+q+...

    Text Solution

    |

  4. If m tan (theta - 30^(@))= n tan (theta + 120^(@)), show that cos 2 th...

    Text Solution

    |

  5. It cos(alpha+beta)=4/5,sin(alpha-beta)=5/(13)a n dalpha,beta lie betwe...

    Text Solution

    |

  6. If the value of the expression sin 25^@* sin 35^@* sin 85^@ can be exp...

    Text Solution

    |

  7. Prove that (4cos^2 9^0-3)(4cos^2 27^0-3)=tan9^0dot

    Text Solution

    |

  8. Prove that 4cos(2pi)/7dotcospi/7-1=2cos(2pi)/7dot

    Text Solution

    |

  9. Let P(k)=(1+cospi/(4k)) (1+cos((2k-1)pi)/(4k)) (1+cos((2k+1)pi)/(4k))...

    Text Solution

    |

  10. Evaluate (2cos4 0^(@)-cos2 0^(@))/(sin2 0^(@)

    Text Solution

    |

  11. Solve cos^6(pi/16)+cos^6((3pi)/16)+cos^6((5pi)/16)+cos^6((7pi)/16)

    Text Solution

    |

  12. Given that (1+tan1^@)(1+tan2^@)...........(1+tan45^@)= 2^n find n .

    Text Solution

    |

  13. Prove that from the equality (sin^(4)alpha)/a+(cos^(4)alpha)/b=1/(a+b)...

    Text Solution

    |

  14. If a leq 3 cos (theta+pi/3)+5cos theta+3 leq b, find a and b, where ...

    Text Solution

    |

  15. The value of (cotθ+cosecθ-1)/ (cotθ-cosecθ+1) is

    Text Solution

    |

  16. If x and y are real number such that x^2 +2xy-y^2=6, find the minimum...

    Text Solution

    |

  17. If A+B+C=pi, prove that tan^2A/2+tan^2B/2+tan^2C/2geq1.

    Text Solution

    |

  18. solve the equation for x , 5^(1/2)+5^(1/2 + log5 sinx) = 15^(1/2 + log...

    Text Solution

    |

  19. Find values of theta satisfying sintheta+sin5theta=sin3theta such that...

    Text Solution

    |

  20. Which of the following are the solutions of equation 2sin 11x + cos3x ...

    Text Solution

    |