Home
Class 12
MATHS
If sinA+sinB=a and cosA+cosB=b, show tha...

If sinA+sinB=a and cosA+cosB=b, show that
`tan(A+B) = (2ab)/(b^2-a^2)`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MBD PUBLICATION|Exercise QUESTION BANK|523 Videos

  • VECTORS

    MBD PUBLICATION|Exercise QUESTION BANK|138 Videos

Similar Questions

Explore conceptually related problems

If sinA+sinB=a and cosA+cosB=b, show that sin(A+B) = (2ab)/(b^2+a^2)

If sinA+sinB=a and cosA+cosB=b, show that cos(A+B) = (b^2-a^2)/(b^2+a^2)

If A+B+C=pi and cosA=cosB.cosC show that tanB+tanC=tanA

If A+B+C=pi and cosA=cosB.cosC show that 2cotB.cotC=1

If sintheta+sinphi=a and costheta+cosphi=b then show that tan((theta+phi)/2)=a/b

If cos2A=tan^2B then show that cos 2B=tan^2A

If tan A=1/5, tanB=2/3 show that cos2A=sin2B

In the following questions, write 'T' for true and 'F' for false statements. If cosA = (1)/2.cosB = 1 then tan ((A+B)/2).tan ((A-B)/2) = 1

MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Prove the following : cotA/(cotA-cot3A)-tanA/(tan3A-tanA) =1

    Text Solution

    |

  2. Find the value of sin3^@, cos3^@

    Text Solution

    |

  3. If sinA+sinB=a and cosA+cosB=b, show that tan(A+B) = (2ab)/(b^2-a^2)

    Text Solution

    |

  4. If sinA+sinB=a and cosA+cosB=b, show that sin(A+B) = (2ab)/(b^2+a^2)

    Text Solution

    |

  5. If sinA+sinB=a and cosA+cosB=b, show that cos(A+B) = (b^2-a^2)/(b^2+...

    Text Solution

    |

  6. Prove the following : (1+sinA-cosA)/(1+sinA+cosA) = tan A//2

    Text Solution

    |

  7. Prove the following : 8sin^4(1/2theta)-8sin^2(1/2theta)+1=cos2theta

    Text Solution

    |

  8. Prove the following : cos^4(pi/8)+cos^4((3pi)/8)+cos^4((5pi)/8)+cos^4(...

    Text Solution

    |

  9. Prove the following : cos^2(alpha/2)(1-2cosalpha)^2+sin^2(alpha/2)(1+2...

    Text Solution

    |

  10. Prove the following : sin20^@.sin40^@.sin60^@.sin80^@ = 3/16

    Text Solution

    |

  11. Prove the following : cos36^@.cos72^@.cos108^@.cos144^@ = 1/16

    Text Solution

    |

  12. Prove the following : cos10^@.cos30^@.cos50^@.cos70^@ = 3/16

    Text Solution

    |

  13. Prove the following : cos20^@.cos40^@.cos60^@.cos80^@ = 1/16

    Text Solution

    |

  14. Prove the following : tan6^@.tan42^@.tan66^@.tan78^@ = 1

    Text Solution

    |

  15. Prove the following : cot7(1/2)^@=sqrt6+sqrt3+sqrt2+2

    Text Solution

    |

  16. Prove the following : cot22(1/2)^@=sqrt2+1

    Text Solution

    |

  17. Prove the following : cot37(1/2)^@=sqrt6-sqrt3-sqrt2+2

    Text Solution

    |

  18. Prove the following : tan37(1/2)^@=sqrt6+sqrt3-sqrt2+2

    Text Solution

    |

  19. Prove the following : cos(pi/16)=1/2 sqrt(2+sqrt(2+sqrt2))

    Text Solution

    |

  20. If sin A=K sin B, prove the tan frac{1}{2}(A-B)=frac{K-1}{K+1 }tan ...

    Text Solution

    |