Home
Class 11
MATHS
If tanA=(1-cosB)/(sinB) , then tan2A=tan...

If `tanA=(1-cosB)/(sinB)` , then `tan2A=tanBdot`

Text Solution

AI Generated Solution

To prove that if \( \tan A = \frac{1 - \cos B}{\sin B} \), then \( \tan 2A = \tan B \), we can follow these steps: ### Step 1: Start with the given equation We have: \[ \tan A = \frac{1 - \cos B}{\sin B} \] ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If tanA=(1)/(2) and tanB=(1)/(3) , then tan(2A+B) is equal to

If (sinA)/(sinB)=pa n d(cosA)/(cosB)=q , find tanAa n dtanBdot

If sinB=1/5sin(2A+B), then (tan(A+B))/(tanA) is equal to

If (tan3A)/(tanA)=k, then (sin3A)/(sinA)=

If (1+ sin6^(@))/( cos 6^(@))=tan A =sqrt((1+ sinB)/(1- sin B)), where A and B in (0,90^(@)) , then

If (cosA)/(cosB)=p,(sinA)/(sinB)=q ,then show that (p^(2)(1-q^(2)))/(p^(2)-q^(2))=cos^(2)A .

If (cosA)/(cosB)=p,(sinA)/(sinB)=q ,then show that (p^(2)(1-q^(2)))/(p^(2)-q^(2))=cos^(2)A .

If A and B are complementary angles, then (a) sinA=cosB (b) cosA=sinB (c) tanA=cotB (d) secA=cos e c\ B

If (1+sinA)(1+sinB)(1+sinC)=(1-sinA) (1-sinB)(1-sinC)," then prove that "(1-sinA) (1-sinB)(1-sinC)=pmcosA.cosB.cosC .

In DeltaABC , if (sinA)/(3)=(cosB)/(3)=(tanC)/(2) , then the value of ((sinA)/(cot2A)+(cosB)/(cot2B)+(tan C)/(cot 2 C)) is

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The number of solutions of the equation 1+cosx+cos2x+sinx+sin2x+sin3x=...

    Text Solution

    |

  2. Let us consider the equation cos^4x/a+sin^4x/b=1/(a+b),x in[0,pi/2],a,...

    Text Solution

    |

  3. If tanA=(1-cosB)/(sinB) , then tan2A=tanBdot

    Text Solution

    |

  4. The total number of solution of cosx=sqrt(1-sin2x) in [0,2pi] is equal...

    Text Solution

    |

  5. In Triangle A B C with fixed length of B C , the internal bisector of...

    Text Solution

    |

  6. Four numbers n1,n2,n3a n dn4 are given as n1=sin15^0-cos15^0,n2=cos93^...

    Text Solution

    |

  7. If sin^3xcos3x+cos^3xsin3x=3/8, then the value of 8sin4x is

    Text Solution

    |

  8. The equation sin^4x+cos^4x+sin2x+alpha=0 is solvable for -5/2lt=alphal...

    Text Solution

    |

  9. In triangle A B C , if r1=2r2=3r3, then a : b is equal to 5/4 (b) 4/5...

    Text Solution

    |

  10. If cosalpha=1/2(x+1/x)a n dcosbeta=1/2(y+1/y),(x y >0); x , y ,alpha,b...

    Text Solution

    |

  11. In triangle A B C ,(sinA+sinB+sinC)/(sinA+sinB-sinC) is equal to

    Text Solution

    |

  12. The radii r1,r2,r3 of enscribed circles of triangle ABC are in HP . If...

    Text Solution

    |

  13. Let alphaa n dbeta be any two positive values of x for which 2cosx ,|c...

    Text Solution

    |

  14. If (y+3)/(2y+5)=sin^2x+2cosx+1, then the value of y lies in the interv...

    Text Solution

    |

  15. If alpha+beta+gamma=2pi, then (a) tan(alpha/2)+tan(beta/2)+tan(gamma...

    Text Solution

    |

  16. The total number of solution of |cotx|=cotx+1/(sinx),x in [0,3pi] , is...

    Text Solution

    |

  17. The value of f(alpha)=sqrt(cos e c^2alpha-2cotalpha)+sqrt(cos e c^2alp...

    Text Solution

    |

  18. If I is the incenter of a triangle ABC, then the ratio I A : I B : I C...

    Text Solution

    |

  19. If asinx+bcos(x+theta)+bcos(x-theta)=d , then the minimum value of |c...

    Text Solution

    |

  20. The number of solution the equation cos(theta).cos(pitheta)=1 has 0 ...

    Text Solution

    |