Home
Class 11
MATHS
If tanx=(b)/(a), then find the value of ...

If `tanx=(b)/(a)`, then find the value of `sqrt((a+b)/( a-b ))+sqrt((a-b)/(a+b)).`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

If log_(sqrt8) b = 3 1/3 , then find the value of b.

(i) If x = (6ab)/(a + b) , find the value of : (x + 3a)/(x - 3a) + (x + 3b)/(x - 3b) . (ii) a = (4sqrt(6))/(sqrt(2) + sqrt(3)) , find the value of : (a + 2sqrt(2))/(a - 2sqrt(2)) + (a + 2sqrt(3))/(a - 2sqrt(3)) .

If tanx=b/a , then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b)) is equal to (a) 2sinx//sqrt(sin2x) (b) 2cosx//sqrt(cos2x) (c) 2cosx//sqrt(sin2x) (d) 2sinx//sqrt(cos2x)

If A+B=90^(@)andtanA=sqrt(3) , then find the value of B.

If tan alpha =(b)/(a), a gt b gt 0 and " if " 0 lt alpha lt (pi)/(4), " then " sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b)) is equal to :

If a gt b gt 0 are two real numbers, the value of, sqrt(ab+(a-b)sqrt(ab+(a-b)sqrt(ab+(a-b)sqrt(ab+….)))) is

Using binomial theorem, write the value of (a+b)^(6) + (a-b)^(6) and hence find the value of ( sqrt(3) + sqrt(2) )^(6) + ( sqrt(3) - sqrt(2) )^(6) .

If A-B=30^(@)andsinA=(sqrt(3))/(2) ,then find the value of B.

If tan(A+B)=sqrt(3)andsin(A-B)=(1)/(2) ,then find the value of tan (2A-3B) .

Find the value of b satisfying log_sqrt(8)b=3 1/3

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that: (cos(pi+x)cos(-x))/(sin(pi-x)cos(pi/2+x)} =cot^2x

    Text Solution

    |

  2. If x=(2sintheta)/(1+costheta+sintheta) , then prove that (1-costheta+...

    Text Solution

    |

  3. If tanx=(b)/(a), then find the value of sqrt((a+b)/( a-b ))+sqrt((a-b)...

    Text Solution

    |

  4. Find the values of the following trigonometric ratios. (1) cos e c390^...

    Text Solution

    |

  5. Prove that: sin(-420^0)(cos390^0)+cos(-660^0)(sin330^0)=-1.

    Text Solution

    |

  6. Prove that: "sec"((3pi)/2-theta)"sec"(theta-(5pi)/2)+t a n((5pi)/2+the...

    Text Solution

    |

  7. Prove that: sin^2pi/(18)+sin^2pi/9+sin^2(7pi)/(18)+sin^2(4pi)/9=2

    Text Solution

    |

  8. If any quadrilateral ABCD, prove that "sin"(A+B)+sin(C+D)=0 "cos"(A...

    Text Solution

    |

  9. Find the value of the expression 3{sin^4((3pi)/2-theta)+sin^4(3pi+the...

    Text Solution

    |

  10. If t a n^2theta=1-a^2 , prove that sectheta+t a n^3thetacos e ctheta=(...

    Text Solution

    |

  11. If acos^3theta+3acosthetasin^2theta=m and asin^3theta+3acos^2thetasin...

    Text Solution

    |

  12. If 2t a n^2alphat a n^2betat a n^2gamma+t a n^2alphat a n^2beta+t a ...

    Text Solution

    |

  13. If m^2 + m'^2 + 2mm' costheta = 1 and n^2+n'^2+2n n'costheta=1, (mn +...

    Text Solution

    |

  14. If (sin^4theta)/a+(cos^4theta)/b=1/(a+b) , prove that (sin^8theta)/(a...

    Text Solution

    |

  15. If (cos^4alpha)/(cos^2beta)+(sin^4alpha)/(sin^2beta)=1 prove that (i...

    Text Solution

    |

  16. If x is any non-zero real number, show that costheta' a n d ' sinthet...

    Text Solution

    |

  17. If A=cos^2theta+sin^4theta, prove that 3/4lt=Alt=1 for all values of...

    Text Solution

    |

  18. If tantheta+sectheta=e^x then costheta equals

    Text Solution

    |

  19. Prove that:sqrt((1+costheta)/(1-costheta))=cos e ctheta+cottheta .

    Text Solution

    |

  20. Prove the following identities: sin^8theta-cos^8theta=(sin^2theta-cos^...

    Text Solution

    |