Home
Class 11
MATHS
If (sin (theta+alpha))/(cos (theta-alpha...

If `(sin (theta+alpha))/(cos (theta-alpha))= (1-m)/(1+m)`, prove that :
`tan (pi/4- theta) tan (pi/4- alpha)=m`.

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

If tan beta= (Q sin alpha)/(P+Q cos alpha) , prove that : tan (alpha-beta)= (P sin alpha)/(Q+P cos alpha) .

If theta - phi=pi/4 , prove that : (1 + tan theta)(1-tan phi)=2 .

If cos (theta + 2alpha) = m cos theta , prove that : cot alpha = (1+m)/(1-m)tan(theta + alpha) .

If theta - phi=pi/4 , prove that : (1 + tan theta)(1+tan phi)=2 tan theta .

If (tan (theta+alpha))/a= (tan (theta+beta))/b= (tan (theta+ gamma))/c , prove that : (a+b)/(a-b) sin^2 (alpha- beta) +(b+c)/(b-c) sin^2 (beta-gamma)+ (c+a)/(c-a) sin^2 (gamma-alpha)=0 .

If cos theta=(cos alpha-cos beta)/(1-cos alpha cos beta), prove that tan theta/2=+-tan alpha/2 cot beta/2.

Solve the following trigonometric equation : tan (pi/4+ theta)+ tan (pi/4- theta)=4 .

If sin theta= n sin(theta+2 alpha) , show that : tan(theta+ alpha)=(1+n)/(1-n) tan alpha .

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

Prove that : cos 2 theta= (1-tan^2 theta)/(1+tan^2 theta) .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that cot theta cot 2 theta+ cot 2 theta cot 3 theta+ 2= cot thet...

    Text Solution

    |

  2. Prove that: (cos 2A cos 3A-cos 2A cos 7A + cos A cos 10A)/(sin 4A sin ...

    Text Solution

    |

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

    Text Solution

    |

  4. If theta(1),theta(2),theta(3),".......",theta(n) are in AP whose commo...

    Text Solution

    |

  5. If A + B + C =pi, prove that : cos 4A + cos 4B + cos 4C =-1+4 cos 2A c...

    Text Solution

    |

  6. In any triangle ABC, prove that : sin frac (A)(2) +sin frac (B)(2)+s...

    Text Solution

    |

  7. In any triangle ABC, prove that : cos frac (A)(2) +cos frac (B)(2)+c...

    Text Solution

    |

  8. If A + B + C =180^@, prove that : sin (B+C-A) + sin(C+ A-B)+ sin(A +B-...

    Text Solution

    |

  9. If A + B + C =180^@, prove that : cos (-A+B +C)+cos(A-B+C)+ cos (A +B-...

    Text Solution

    |

  10. If A + B + C =180^@, prove that : sin (B+C-A) + sin(C+ A-B)+ sin(A +B-...

    Text Solution

    |

  11. If in triangle ABC, cot A + cot B + cot C = sqrt3, prove that the tria...

    Text Solution

    |

  12. If A+B +C +D= 2 pi, prove that : cos A + cos B + cos C + cos D =-4 cos...

    Text Solution

    |

  13. If A+B +C =2S, prove that : sin (S - A) + sin (S- B) + sin (S-C)-sinS=...

    Text Solution

    |

  14. If A+B +C =2S, prove that : cos^2 S + cos^2 (S- A) + cos^2 (S-B)+ cos^...

    Text Solution

    |

  15. If x +y+ z=xyz, prove that : (2x)/(1-x^2)+(2y)/(1-y^2)+(2z)/(1-z^2)= ...

    Text Solution

    |

  16. If x +y+ z=xyz, prove that : (3x-x^3)/(1-3x^2)+ (3y-y^3)/(1-3y^2)+(3z...

    Text Solution

    |

  17. If xy + yz + zx = 1, prove that : x/(1-x^2)+y/(1-y^2)+z/(1-z^2)= (4xy...

    Text Solution

    |

  18. Find the solutions x in [0,2 pi] of : sin 2x-12 (sin x -cos x) + 12 =...

    Text Solution

    |

  19. Solve the following trigonometric equation : cos 3 theta + 8cos^3 th...

    Text Solution

    |

  20. If tan(pi cos theta )= cot (pi sin theta ) ,then cos^(2)(theta -pi/...

    Text Solution

    |