Home
Class 11
MATHS
Prove that,cosx/(1-sinx)=tan(pi/4+x/2)...

Prove that,`cosx/(1-sinx)=tan(pi/4+x/2)`

Promotional Banner

Topper's Solved these Questions

  • Techno India Group Academia South Kolkata, Question Paper

    UNITED BOOK HOUSE|Exercise Exercise |41 Videos

  • THE SCOTTISH CHURCH COLLEGIATE SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|53 Videos

Similar Questions

Explore conceptually related problems

Show that tan^-1((cosx)/(1 + sin x)) = pi/4 - x/2 , where x in (-pi/2 , pi/2)

Express "tan"^(-1)(cosx)/(1-sinx),(-3pi)/2ltxlt(pi)/2 in the simplest form.

Prove that (1-tan^2(pi/4-A))/(1+tan^2(pi/4-A))=sin2Adot

Prove that (sinx-cosx+1)/(sinx+cosx-1)=secx+tanx

Prove that: cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=x/2,x in (0,pi/4)

If cosx+sinx=cosalpha-sinalpha , prove that : (x-pi/4)=2npi+-(alpha+pi/4)

If tan(pi/4+y/2)=tan^3(pi/4+x/2)dot Prove that (siny)= (sinx)(3+sin^2x)/(1+3sin^2x) .

Prove that (1+sqrt(2))/2lt int_(0)^(pi//2)(sinx)/x dx lt (pi+2sqrt(2))/4

Prove that tan(pi//4+theta)-tan(pi//4-theta)=2tan2theta

Prove that tan^(-1) {(sqrt(1+cos x)+sqrt(1-cosx))/(sqrt(1+cos x)-sqrt(1-cosx))}=pi/4+x/2

UNITED BOOK HOUSE-TECHNO INDIA GROUP ACADEMIA,SOUTH KOLKATA.-EXERCISE
  1. For any three sets A, B, C. show thatAxx(B-C)=(AxxB)-(AxxC)

    Text Solution

    |

  2. In any /\ABC,prove that sin(B-C)/(sin(B+C))=(b^2-c^2)/(a^2)

    Text Solution

    |

  3. Prove that,cosx/(1-sinx)=tan(pi/4+x/2)

    Text Solution

    |

  4. Prove by mathematical induction that1/1.3+1/3.5+1/5.7+...+1/((2n-1)(2n...

    Text Solution

    |

  5. If x+iy=2/(3+costheta+isintheta),show that 2x^2+2y^2=3x-1

    Text Solution

    |

  6. find the co-efficient of (2r+4)th and (r-2)th terms in the expansion o...

    Text Solution

    |

  7. If p, q, r are in G.P and the equation px^2+2qx+r=0 and dx^2+2ex+f=0 h...

    Text Solution

    |

  8. Show that the points (a,0),(0,b)and (3a,-2b)are collinear.Also find th...

    Text Solution

    |

  9. Find the distance between the parallel lines 4x-3y+5=0 and 4x-3y+7=0.

    Text Solution

    |

  10. Find the equation of a circle through origin which cuts of intercepts ...

    Text Solution

    |

  11. Find the value of the limit lim(nrarroo)(1^2+2^2+...+n^2)/n^3

    Text Solution

    |

  12. If y=sqrt((1-x)/(1+x)),prove that (1-x^2)dy/dx+y=0

    Text Solution

    |

  13. If x^2is an odd number then x is also odd number,justify the validity ...

    Text Solution

    |

  14. If x and y are odd integers, then xy is also an odd integer r examine ...

    Text Solution

    |

  15. In single throw of two dice,the probality of obtaning 'a total of 8' i...

    Text Solution

    |

  16. Find S.D from the following data:

    Text Solution

    |

  17. Solve :sqrt3cosx-sinx=1

    Text Solution

    |

  18. Prove that, cos20^@cos40^@cos60^@cos80^@=1/16

    Text Solution

    |

  19. Exhibit graphically the solution sets of the following system of linea...

    Text Solution

    |

  20. Solve :3x^2+8ix+3=0

    Text Solution

    |