Home
Class 12
MATHS
If sin alpha sin beta - cos alpha cos be...

If `sin alpha sin beta - cos alpha cos beta + 1=0,` then the value of `1+cot alpha tan beta` is

A

1

B

`-1`

C

2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise 2(Level -I)|36 Videos

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -2(Level -II)|12 Videos

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -4(Level -II)|9 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 sin alpha sin beta-cos alpha cos beta+1=0, then prove that 1+cot alpha tan beta=0

If sin alpha sin beta-cos alpha cos beta+1=0 , then prove that 1+cotalpha tan beta=0 .

If sin alpha-sin beta=a and cos alpha+cos beta=b then write the value of cos(alpha+beta)

If sin alpha-sin beta=a and cos alpha+cos beta=b then write the value of cos(alpha+beta)

If : 1+sin alpha * sin beta-cos alpha* cos beta=0" ""then" : tan alpha*cot beta=

sin alpha+sin beta=(1)/(4) and cos alpha+cos beta=(1)/(3) The value of cos(alpha+beta) is

sin alpha+ sinbeta=(1)/(4) and cos alpha+cos beta=(1)/(3) The value of tan (alpha+beta) is

sin alpha sin beta-cos alpha cos beta=1 then show that tan alpha+tan beta=0

If cos alpha + cos beta = 0 = sin alpha + sin beta, then value of cos 2 alpha + cos 2 beta is

if alpha and beta satisfy sin alpha cos beta=-(1)/(2), then the greatest value of 2cos alpha sin beta is

MOTION-TRIGNOMETRIC RATIOS & IDENTITIES -Exercise 1
  1. The value of tan1^@ tan 2^@ tan 3^@ ... tan 89^@ is

    Text Solution

    |

  2. The value of cos 1^@ cos 2^@ cos 3^@... cos 179^@ is

    Text Solution

    |

  3. If sin alpha sin beta - cos alpha cos beta + 1=0, then the value of 1+...

    Text Solution

    |

  4. The value of cotx+cot(60^@+x)+cot(120^@+x) is equal to

    Text Solution

    |

  5. If tan A - tan B =x and cot B - cot A=y, then: cot(A-B)=

    Text Solution

    |

  6. If tan 25^@ = x, then (tan155^@ - tan115^@)/(1+tan 155^@ tan115^@) is ...

    Text Solution

    |

  7. Let alpha, beta be such that pi lt alpha lt beta lt 3pi, if sin alpha...

    Text Solution

    |

  8. The value of tan 3A -tan 2A -tan A is equal to (A) tan 3A tan 2A tan A...

    Text Solution

    |

  9. If alpha+beta+gamma=2pi , then

    Text Solution

    |

  10. In a triangle ABC if tan A lt 0 then

    Text Solution

    |

  11. If A+B=225^(@) then the value of (cotA)/(1+cotA).(cotB)/(1+cotB) is

    Text Solution

    |

  12. The value of (sin 24^@ cos 6^@-sin 6^@sin 66^@)/(sin 21^@ cos 39^@-cos...

    Text Solution

    |

  13. The valud of sin 12^(@) sin 48^(@) sin 54^(@) is equal to-

    Text Solution

    |

  14. If A + B + C = (3pi)/2, then cos 2A + cos 2B + cos 2C is equal to (A) ...

    Text Solution

    |

  15. The expression (cos 6x+6cos 4x+15 cos 2x+10)/(cos 5x+5 cos 3x+10 co...

    Text Solution

    |

  16. The value of cos10^(@)-sin 10^(@) is

    Text Solution

    |

  17. If 0 lt x lt pi and cos x + sin x = 1/2, then tan x is

    Text Solution

    |

  18. If A lies in the third quadrant and 3 tan A-4 = 0, then 5 sin 2A + 3si...

    Text Solution

    |

  19. For -pi/2 lt theta lt pi/2 ,(sin theta + sin 2 theta)/(1+cos theta + c...

    Text Solution

    |

  20. Find the value of cos 12^(@)+cos 84^(@)+cos 156^(@)+cos 132^(@)

    Text Solution

    |