Home
Class 11
MATHS
Prove that : (sinx)/(1+cos x)= tan frac...

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

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

Prove the following : (sinx +siny)/(cos x+cos y)= tan frac (x+y)(2) .

Prove that: (sinx +sin3x)/(cosx+cos3x)=tan2x

If A + B + C =180^@ , prove that : tan frac (A)(2) tan frac (B)(2)+ tan frac (B)(2) tan frac (C)(2) +tan frac (C)(2) tan frac (A)(2)=1 .

Prove that : cos C +cosD = 2 cos frac (C+D)(2) cos frac (C-D) (2) .

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

If tan x = 3/4, pi lt x lt (3 pi)/2 , find the values of sin frac (x)(2), cos frac (x)(2) and tan frac (x)(2) .

Prove that : sin^2 frac (pi)(6)+ cos^2 frac(pi)(3)- tan^2 frac(pi)(4)=-1/2 .

If x=(11 pi)/4 , prove that : sin^2 x- cos^2 x+2 tan x- sec^2 x=1 .

If A + B + C =pi , prove that : cos A+cos B - cos C= 4 cos frac (A)(2) cos frac (B)(2) sin frac (C)(2)-1 .

Prove that : 1+tan A tan frac (A)(2)= secA= tanA cot frac (A)(2)-1

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that : sin (y + z-x) + sin (z + x-y) + sin (x +y-z)-sin (x+y+z)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Prove that : 2 cos theta= sqrt (2+ sqrt(2+2 cos 4 theta)).

    Text Solution

    |

  19. Prove that sin A sin(60° - A) sin(60° + A) = 1/4 sin3A

    Text Solution

    |

  20. Prove that : tan A+tan (60^@+A)-tan (60^@-A)=3 tan 3A.

    Text Solution

    |