Home
Class 12
MATHS
If ( sin ( theta + alpha ))/( cos ( thet...

If `( sin ( theta + alpha ))/( cos ( theta - alpha ))=(1- m)/(1+m) , " then " tan"((pi)/4- theta )= `

A

`m sin ""((pi)/4 - alpha )`

B

`m cos ""((pi)/4 + alpha )`

C

`m tan""((pi)//(4) + alpha ) `

D

`m cot""((pi)/4 - alpha ) `

Text Solution

Verified by Experts

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 ( theta + alpha ) = cos ( theta + alpha ) , then tan theta =

If a* cos ( theta + alpha ) = b cos ( theta - alpha ) , " then " ( a+ b) tan theta =

cos ( theta + alpha)* cos ( theta - alpha) + sin ( theta + alpha) * sin (theta - alpha )=

If cos theta = ( cos alpha - cos beta )/(1- cos alpha cos beta ) " then " tan^(2)""((theta )/(2)) tan^(2)""((beta)/(2))=

If sin theta = n sin (theta + 2 alpha ) , " then " (1- n) tan ( theta + alpha ) =

If tan (alpha + theta ) = n* tan ( alpha - theta ) , "then " (n +1) sin 2 theta =

If cos theta = cos alpha cos beta, "then tan" (theta - alpha)/(2) is equal to

If cos m theta = sin n theta , then theta =

If cos (theta - alpha) , cos theta , cos (theta + alpha ) are in H.P. then cos theta .sec"" (alpha )/(2) =

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 D ( TRANSFORMATIONS )
  1. If m sin theta = n sin ( 2alpha + theta ) , " then " (m+n) tan alpha =

    Text Solution

    |

  2. If cos theta = cos alpha cos beta , " then " cot^(2)""(beta)/(2)=

    Text Solution

    |

  3. If ( sin ( theta + alpha ))/( cos ( theta - alpha ))=(1- m)/(1+m) , " ...

    Text Solution

    |

  4. (cos x )/( cos (x-2y))= lambda implies tan(x-y) tan y=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |