Home
Class 11
MATHS
If sin^2 x + sin^2 y = 1, then what is t...

If `sin^2 x + sin^2 y = 1`, then what is the value of cot (x + y) ?

A

1

B

`sqrt3`

C

0

D

`1//sqrt3`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

If sin^-1 x + sin^-1 y = - pi , then find the values of x and y

If sin^-1 x = y , then

If sin^-1 x + sin^-1y = pi/2 , then value of cos^-1 x + cos^-1 y

The value of cot(sin^(-1)x) is

If y = sin^-1x , then

If sin^-1x = y , then:

If sin^-1x + sin^-1 y + sin^-1z = (3pi)/2, then the value of x^9 + y^9 + z^9 - (1)/(x^9y^9z^9) is equal to

If cos x-sin alpha cot beta sin x=cos alpha , then the value of tan (x//2) is

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If cos theta < sin theta and theta lies in the first quadrant, then wh...

    Text Solution

    |

  2. The angle of elevation from a point on the bank of a river of the top ...

    Text Solution

    |

  3. If sin^2 x + sin^2 y = 1, then what is the value of cot (x + y) ?

    Text Solution

    |

  4. What is the value of cos 10^@ + cos 110^@+ cos 130^@ ?

    Text Solution

    |

  5. What is the value of tan (-1575^@) ?

    Text Solution

    |

  6. For which acute angle theta cosec^2 theta= 3 sqrt3 cot theta-5?

    Text Solution

    |

  7. If tan^2 theta=2 tan^2 phi+1, then which of the following is correct ?

    Text Solution

    |

  8. The value of sin 10^(@) sin 50^(@) sin 70^(@) is equal to

    Text Solution

    |

  9. The sines of two angles of a triangle are equal to 5/13 and 99/101 . W...

    Text Solution

    |

  10. After subtending an angle of 1000^@ from its initial position, the rev...

    Text Solution

    |

  11. One radian is approximately equal to which one of the following :

    Text Solution

    |

  12. If cot (x+y)= 1/sqrt3, cot (x-y)= sqrt3, then what are the smallest po...

    Text Solution

    |

  13. In sinA= 1/sqrt5, cosB= 3/sqrt10, A, B being positive acute angles, th...

    Text Solution

    |

  14. x = sin theta cos theta, and y = sin theta +cos theta are satisfied by...

    Text Solution

    |

  15. A man observes the elevation of a balloon to be 30^@. He then walks 1 ...

    Text Solution

    |

  16. The number of integral values of k for which the equation 7 cos x + 5 ...

    Text Solution

    |

  17. In a triangle ABC, 2ca sin frac(A-B+C)(2)=

    Text Solution

    |

  18. The period of sin^2 theta is :

    Text Solution

    |

  19. If y = sec^2 theta+ cos^2 theta, theta ne 0, then :

    Text Solution

    |

  20. If alpha is a root of 25 cos^2 theta+ 5 cos theta- 12 = 0,pi/2 < alpha...

    Text Solution

    |