Home
Class 12
MATHS
If cos (x-y)=3 * cos (x+y) , " then " co...

If `cos (x-y)=3 * cos (x+y) , " then " cot x* cot y= `

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 E ( TRIGONOMETRIC IDENTITIES )|49 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 F ( PERIODIC FUNCTIONS )|39 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

cos(x-y)=3cos(x+y) then cotxcoty=

If cos x + cos y - cos (x + y ) =3/2, the

If cos y =x cos (a + y) then (dy)/(dx)=

If cos (x-y) , cos x , cos (x+y) are three distinct numbers which are in harmonic progression and cos x ne cos y , " then " 1+ cos y =

I: If x= sin 1 , y= sin1^(@) then x lt y II : If x = cos 1 , y = cos 1^(@) " then " x lt y

If cos x+ cos y = 1//3 , sin x + sin y=1//4 " then " cos (x+y)=

If cot^(2)x =cot(x-y) cot(x-z) , then cot(2x) is equal to (where x ne +-pi/4 )

I : If cos x + cos y=1/3 , sin x+sin y=1//4 " then " cos (x+y)=7//25 II : If cos x + cos y=1//3 , sin x + sin y=1//4 " then " sin(x+y)=24//25

If (cos x)/(cos y)=2 and cos(x-y) = sqrt(3)/2 , then tan y=

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 D ( TRANSFORMATIONS )
  1. If cos (A+B) sin (C+D)= cos(A-B)* sin(C-D), then cot A cot B cot C =

    Text Solution

    |

  2. If tan (alpha + theta ) = n* tan ( alpha - theta ) , "then " (n +1) s...

    Text Solution

    |

  3. If cos (x-y)=3 * cos (x+y) , " then " cot x* cot y=

    Text Solution

    |

  4. If sin theta = n sin (theta + 2 alpha ) , " then " (1- n) tan ( thet...

    Text Solution

    |

  5. If m sin theta = n sin ( 2alpha + theta ) , " then " (m+n) tan alpha =

    Text Solution

    |

  6. If cos theta = cos alpha cos beta , " then " cot^(2)""(beta)/(2)=

    Text Solution

    |

  7. If ( sin ( theta + alpha ))/( cos ( theta - alpha ))=(1- m)/(1+m) , " ...

    Text Solution

    |

  8. (cos x )/( cos (x-2y))= lambda implies tan(x-y) tan y=

    Text Solution

    |

  9. If ( cos ( theta1- theta 2 ))/(cos ( theta1+ theta2))+( cos ( theta3 +...

    Text Solution

    |

  10. If tan""((theta)/(2))=sqrt([(1-e)/(1+e)]) tan""((alpha)/(2)) then cos...

    Text Solution

    |

  11. If cos theta = ( cos alpha - cos beta )/(1- cos alpha cos beta ) " the...

    Text Solution

    |

  12. cos A =(3)/4 implies 32 sin""((A)/(2)) sin""((5A)/(2))=

    Text Solution

    |

  13. If xy+yz+zx=1, " then " (x)/( 1+x^(2))+(y)/(1+y^2)+(z)/(1+z^(2))=

    Text Solution

    |

  14. If sin alpha + sin beta = a , cos alpha + cos beta = b " then sin ( ...

    Text Solution

    |

  15. If sin alpha + sin beta = a , cos alpha + cos beta = b " then cos ( ...

    Text Solution

    |

  16. If cos alpha + cos beta = a, sin alpha + sin beta = b and theta is the...

    Text Solution

    |

  17. If cos x+ cos y = 1//3 , sin x + sin y=1//4 " then " cos (x+y)=

    Text Solution

    |

  18. If x and y are acute angles such that cos x+ cosy=(3)/(2) and sinx + s...

    Text Solution

    |

  19. If sin x + sin y =(1)/4 , sin x- sin y =1/5 , " then " 4 cot ""((x-y)...

    Text Solution

    |

  20. If cos x+ cosy =(4)/(5) and cos x- cos y =(2)/(7), then the value of 1...

    Text Solution

    |