Home
Class 12
MATHS
यदि A + B=45^(@) सिद्ध कीजिए : (1+tan...

यदि ` A + B=45^(@) ` सिद्ध कीजिए : ` (1+tan A ) .(1+tan B) =2 `

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -4(Level -I)|7 Videos
  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -4(Level -II)|9 Videos
  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -2(Level -II)|12 Videos
  • THREE DIMENSIONAL GEOMETRY (3 -D)

    MOTION|Exercise SOLVED EXAMPLE|33 Videos
  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

If A+B=45^(@), then the value of (1+tan A)(1+tan B) is

If A+B=45^(@) , then (1+ tan A)(1+ tan B) =__________

If A + B = 45^(@) , then find the value of (1+tan A)(1+ tan B)

if A+B=135^(@) then (tan A.tan B)/((1+tan A)*(1+tan B))=

If A+B=45^(@) then prove that (1+tan A)(1+tan B)=2. On the basis of the result obtained prove that tan22.5^(0)=sqrt(2)-1

If A+B=135^(@) then (1-tan A)(1-tan B)=

(1 + tan ^ (2) (45 ^ (@) - A)) / (1-tan ^ (2) (45 ^ (@) - A)) = csc2A

(1 - tan^2 45^0)/(1 + tan^2 45^0)

MOTION-TRIGNOMETRIC RATIOS & IDENTITIES -Exercise -3
  1. If P(n)=cos^(n)theta+sin^(n)theta and Q(n)=cos^(n)theta-sin^(n)theta t...

    Text Solution

    |

  2. If tantheta=-5/12, theta is not in the second quadrant, then show tha...

    Text Solution

    |

  3. यदि A + B=45^(@) सिद्ध कीजिए : (1+tan A ) .(1+tan B) =2

    Text Solution

    |

  4. If sinx+siny=a and cos x+cosy =b then value of sin(x+y) =

    Text Solution

    |

  5. If x+y+z=(pi)/(2) show that sin 2x + sin 2y + sin 2z =4 cos x cosy co...

    Text Solution

    |

  6. If x+y=pi+z, then prove that sin^2x+sin^2y-sin^2z=2 sinx siny cos z.

    Text Solution

    |

  7. A+B+C = 2S then prove that cos (S-A) + cos(S-B) + cos (S-C)+cos S=4 co...

    Text Solution

    |

  8. If A+B+C =180^(@) then prove that sin 2A + sin 2B+ sin 2C = 4 sin A s...

    Text Solution

    |

  9. If tan x=(3)/(4) " and " pi lt x lt .(3pi)/(2) find the value of ...

    Text Solution

    |

  10. Prove taht {(1-cot^2((alpha-pi)/4))/(1+cot^2((alpha-pi)/4))+cos(alpha/...

    Text Solution

    |

  11. 4(cos^3 2 0^(@)+cos^3 4 0^(@))=3(cos2 0^(@)+cos4 0^(@))

    Text Solution

    |

  12. Prove that (i) (sec 8A -1)/(sec 4A -1) =(tan 8A)/(tan 2A) (ii) (c...

    Text Solution

    |

  13. Prove that sin 3x .sin^(3) x+cos 3 x . Cos^(3)x=cos^(3) 2x

    Text Solution

    |

  14. If tan beta=(tan alpha + tan gamma)/(1+ tan alpha . tan gamma) Prove...

    Text Solution

    |

  15. Prove that sin^2 theta+sin^2 2theta+sin^2 3theta+....+sin^2 n theta=n/...

    Text Solution

    |

  16. सिद्ध कीजिए कि - cos x+cos ((2pi)/(3)+x)+cos((2pi)/(3)-x)=0

    Text Solution

    |

  17. Find the maximum and minimum values of (i) cos 2x + cos^(2)x (ii) ...

    Text Solution

    |

  18. An maximum value of 1+4 sin theta + 3 cos theta is

    Text Solution

    |

  19. If phi is the exterior angle of a regular polygon of n sides and theta...

    Text Solution

    |

  20. If - pi/2 < x < pi/2 and y=log10(tanxsecx). Then the expression E=(10^...

    Text Solution

    |