Home
Class 12
MATHS
If (1+sqrt(1+a)) tan alpha =1 + sqrt(1- ...

If `(1+sqrt(1+a)) tan alpha =1 + sqrt(1- alpha ) ` then `sin 4 alpha =

A

0

B

1

C

`-1`

D

`a`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 E ( TRIGONOMETRIC IDENTITIES )|49 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 F ( PERIODIC FUNCTIONS )|39 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If sin h^(-1) ( sqrt8) + sin h^(-1) ( sqrt24) = alpha , then sin h = alpha

If (1+ tan alpha)(1+ tan 4alpha)=2, alpha in (0, pi//16) , then alpha is equal to:

If tan beta =(n tan alpha )/(1+(1-n) tan^(2) alpha ) , then tan(alpha-beta)=

If alpha and beta are angles in the first quadrant sucn than tan alpha = 1/7 and sin beta = (1)/(sqrt10) , then alpha + 2 beta =

If sin (alpha+beta ) =1 , sin (alpha-beta ) =1//2 " then " tan (alpha +2beta ) tan(2alpha+beta ) =

If (1 + tan alpha) (1 + tan 4 alpha) = 2, alpha in (0, (pi)/(16)) , then alpha =

(1)/(sec alpha - tan alpha ) - (1)/( cos alpha)=

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 D ( TRANSFORMATIONS )
  1. (cos x )/( cos (x-2y))= lambda implies tan(x-y) tan y=

    Text Solution

    |

  2. If ( cos ( theta1- theta 2 ))/(cos ( theta1+ theta2))+( cos ( theta3 +...

    Text Solution

    |

  3. If tan""((theta)/(2))=sqrt([(1-e)/(1+e)]) tan""((alpha)/(2)) then cos...

    Text Solution

    |

  4. If cos theta = ( cos alpha - cos beta )/(1- cos alpha cos beta ) " the...

    Text Solution

    |

  5. cos A =(3)/4 implies 32 sin""((A)/(2)) sin""((5A)/(2))=

    Text Solution

    |

  6. If xy+yz+zx=1, " then " (x)/( 1+x^(2))+(y)/(1+y^2)+(z)/(1+z^(2))=

    Text Solution

    |

  7. If sin alpha + sin beta = a , cos alpha + cos beta = b " then sin ( ...

    Text Solution

    |

  8. If sin alpha + sin beta = a , cos alpha + cos beta = b " then cos ( ...

    Text Solution

    |

  9. If cos alpha + cos beta = a, sin alpha + sin beta = b and theta is the...

    Text Solution

    |

  10. If cos x+ cos y = 1//3 , sin x + sin y=1//4 " then " cos (x+y)=

    Text Solution

    |

  11. If x and y are acute angles such that cos x+ cosy=(3)/(2) and sinx + s...

    Text Solution

    |

  12. If sin x + sin y =(1)/4 , sin x- sin y =1/5 , " then " 4 cot ""((x-y)...

    Text Solution

    |

  13. If cos x+ cosy =(4)/(5) and cos x- cos y =(2)/(7), then the value of 1...

    Text Solution

    |

  14. Let alpha , beta be such that pi lt alpha - beta lt 3 pi . If sin...

    Text Solution

    |

  15. sin A + sin B = sqrt(3) ( cos B- cos A )implies sin 3A + sin 3B=

    Text Solution

    |

  16. The value of sqrt(3) cot 20^(@) -4 cos 20^(@) is

    Text Solution

    |

  17. If n is an odd integer than ((cos A + cos B)/( sin A - sin B))^(n) + (...

    Text Solution

    |

  18. If (1+sqrt(1+a)) tan alpha =1 + sqrt(1- alpha ) then sin 4 alpha =

    Text Solution

    |

  19. If sin^(3) x sin 3x = sum(m=0)^(n)Cm cos^(m)x " where " C0,C1...........

    Text Solution

    |

  20. If 0 lt theta lt pi/2, x = sum(n=0)^(oo)cos^(2n) theta, y =sum(n=0)^(o...

    Text Solution

    |