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

    Text Solution

    |

  2. If (sin beta)/(sin(2 alpha+ beta))=m/n, prove that : cot (alpha+ beta)...

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that : sin (y + z-x) + sin (z + x-y) + sin (x +y-z)-sin (x+y+z)...

    Text Solution

    |

  5. If cos (A + B) sin (C- D) = cos (A- B) sin (C+D), show that : tan A t...

    Text Solution

    |

  6. Prove that : (sinx)/(1+cos x)= tan frac (x)(2).

    Text Solution

    |

  7. Prove that : cot 2A= (cot^2 A-1)/(2 cot A).

    Text Solution

    |

  8. Prove that : (1-sin2x)/(1+sin2x)= tan^2 (pi/4-x).

    Text Solution

    |

  9. Find tan 15^@ and hence show that tan 15^@+ cot 15^@ = 4.

    Text Solution

    |

  10. Prove that : tan 75^@+ cot 75^@=4.

    Text Solution

    |

  11. Given cos 45^@=1/sqrt2, find the value of cos 22 1^@/2.

    Text Solution

    |

  12. Prove that : (1+sin 2 theta-cos 2 theta)/(1+sin 2 theta+ cos 2 theta...

    Text Solution

    |

  13. Prove that : 2 tan 2x= (cos x+sinx)/(cos x-sinx)-(cos x- sinx)/(cos ...

    Text Solution

    |

  14. Prove the following: cos 4x = 1 - 8sin^2 x cos^2 x

    Text Solution

    |

  15. Prove that : sin 4A=4 sinA cos^3 A- 4 cosA sin^3 A.

    Text Solution

    |

  16. Prove that : sin3A+ sin 2A- sinA= 4 sinA cos frac (A)(2) cos frac (3...

    Text Solution

    |

  17. Prove that (tan^2 theta)/(tan^2 theta-1)+(cosec^2 theta)/ (sec^2 theta...

    Text Solution

    |

  18. If cos theta =1/2(a+1/a), prove that : 2 cos 2 theta= a^2+1/ a^2.

    Text Solution

    |

  19. If cos theta =1/2(a+1/a), prove that : 2 cos 4 theta= a^4+1/ a^4.

    Text Solution

    |

  20. If 2costheta=x+1/x, prove that 2cos3theta=x^3+1/x^3

    Text Solution

    |