Home
Class 12
MATHS
Given that ( 1+ sqrt( 1+ y )) tan y = 1+...

Given that `( 1+ sqrt( 1+ y )) tan y = 1+sqrt( 1-y)` Then `sin 4y ` is equal to

A

4y

B

2y

C

y

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (4) TRUE AND FALSE|5 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (4) FILL IN THE BLANKS|10 Videos
  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (3) (FILL IN THE BLANKS)|2 Videos
  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

Given that (1+sqrt(1+x))tan y=1+sqrt(1-x) Then sin4y is equal to (a)4x(b)2x(c)x(d) none of these

If y = sin^(-1) sqrt(1-x), "then " (dy)/(dx) is equal to

If f(y) = (y)/(sqrt(1-y^(2))), g(y) = (y)/(sqrt(1+y^(2))) , then (fog) y is equal to

If y = 1/x , then the value of (dy)/(sqrt(1 + y^4)) + (dx)/(sqrt(1 + x^4)) + 3 is equal to

If x=(1-sqrt(y))/(1+sqrt(y)) then (dy)/(dx) is equal to

If x + y = 90^@ and sin x : sin y = sqrt(3): 1 , then what is x : y equal to ?

If y=(tan^(-1))(sqrt(1+x^(2))-1)/(x), then y'(1) is equal to

ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)
  1. Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13), where 0 ...

    Text Solution

    |

  2. If tan((theta)/(2))=5/2and tan((phi)/(2))=3/4, the value of cos(theta+...

    Text Solution

    |

  3. If 2 cos theta = x + ( 1)/( x) , 2 cos phi = y + ( 1)/( y ), then cos...

    Text Solution

    |

  4. sin 12^(@) sin 48^(@) sin 54^(@) is equal to

    Text Solution

    |

  5. The value of sin"" ( pi )/(7 ) +sin"" ( 2pi )/( 7 ) + sin "" ( 3pi )/...

    Text Solution

    |

  6. cos"" ( 2pi )/( 7 ) + cos "" ( 4pi )/( 7 ) + cos "" ( 6pi )/( 7 )

    Text Solution

    |

  7. cos 0 + cos"" ( pi )/( 7 ) + cos "" ( 2pi )/(7) + cos"" ( 3pi)/(7)+ co...

    Text Solution

    |

  8. The value of cos""(pi)/(11)+cos""(3pi)/(11)+cos""(5pi)/(11)+cos""(7pi)...

    Text Solution

    |

  9. The average of sin 2^(@) , sin 4^(@) , sin 6^(@),"….." sin180^(@) is

    Text Solution

    |

  10. Let z = cos theta + isin theta. Then the value of sum(m=1)^(15) Im(z^(...

    Text Solution

    |

  11. sin"" (pi )/( n ) + sin "" ( 3pi)/( n ) + sin"" ( 5pi)/( n ) +"…."n te...

    Text Solution

    |

  12. sum(r=1)^(n-1)sin^(2)"" (r pi )/( n ) equals

    Text Solution

    |

  13. Given that ( 1+ sqrt( 1+ y )) tan y = 1+sqrt( 1-y) Then sin 4y is equ...

    Text Solution

    |

  14. For a positive integer n, let f(n) ( theta ) = ( tan "" ( theta )/( 2)...

    Text Solution

    |

  15. If 0^(@) lt theta lt 180^(@) , then sqrt( 2+ sqrt( 2+ sqrt("..."+ sqrt...

    Text Solution

    |

  16. The minimum value of tan B tan C in an acute angled triangle ABC is

    Text Solution

    |

  17. If u=(1+cos theta)(1+cos 2theta)-sin theta.sin 2theta, v=sin theta(1+c...

    Text Solution

    |

  18. If t(1) = ( tan x )^(cot x ) , t(2) = ( cot x ) ^(cot x ), t(3) = ( ta...

    Text Solution

    |

  19. If u = sqrt( a^(2) cos^(2) theta + b^(2) sin^(2) theta ) + sqrt( a^(2)...

    Text Solution

    |

  20. If cos x + cos y = a, cos 2x + cos 2y =b, cos 3x + cos 3y =c, then

    Text Solution

    |