Home
Class 11
MATHS
If (x)/( cos theta ) = (y) /( cos (theta...

If `(x)/( cos theta ) = (y) /( cos (theta - 2pi//3))=(z)/( cos ( theta + 2pi//3))`, then ` x+y+z=`

A

1

B

0

C

`-1`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) LEVEL - II|4 Videos
  • COMPOUND ANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN))|14 Videos
  • COMPOUND ANGLES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)|43 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos
  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

5 cos theta + 3 cos ( theta - (pi)/(3) )+8 in

If cos theta = cos 5pi//4 , then theta =

If (x)/(a) cos theta + (y)/(b) sin theta = 1 , (x)/(a) sin theta - (y)/(b) cos theta =1 then

I : If x cos theta = y cos (120^@ + theta ) = z cos ( theta + 240^(@)) then xy+ yz+ zx=1 II : cos alpha + cos (120^(@) + alpha ) + cos (120^@ - alpha ) =0

If x,y,z are non zero real numbers and if x cos theta=y cos (theta+(2pi)/3)=z cos (theta+(4pi)/3) for some theta in R then show that xy+yz+zx=0

If x=y cos((2pi)/(3))=z cos ((4pi)/(3)) then xy+yz+zx=

x tan (theta - (pi)/(6)) = y tan (theta + (2pi)/(3)) implies (x + y)/(x -y) =

If x=a cos^(3) theta , y= a sin^(3) theta then

AAKASH SERIES-COMPOUND ANGLES-PRACTICE SHEET (EXERCISE - I) LEVEL - I
  1. In triangle ABC, if sin A cos B = (1)/(4) and 3 tan A = tan B, then co...

    Text Solution

    |

  2. If cos 28^(@)+sin 28^(@)=k^(3), then cos17^(@) equal to

    Text Solution

    |

  3. If (x)/( cos theta ) = (y) /( cos (theta - 2pi//3))=(z)/( cos ( theta ...

    Text Solution

    |

  4. If cos alpha+cos beta=0=sin alpha+sin beta, then cos 2 alpha+cos 2beta...

    Text Solution

    |

  5. Let f(n)=2 cos nx AA n in N, then f(1)f(n+1)-f(n) is equal to

    Text Solution

    |

  6. "tan"^(6) (pi)/(9)-33 "tan"^(4)(pi)/(9) +27 "tan"^(2)(pi)/(9)=

    Text Solution

    |

  7. If (cosx)/(cosy)=2 and cos (x-y)=(sqrt(3))/(2) then tan y=

    Text Solution

    |

  8. If tan beta = 2 sin alpha sin gamma " cosec "(alpha + gamma) , then ...

    Text Solution

    |

  9. Assertion (A): tan40^(@) + tan 80^(@) - sqrt(3)tan 40^(@) tan80^(@)=-s...

    Text Solution

    |

  10. Statement-I : If 0 lt alpha, beta lt pi/4, sin alpha =a/sqrt(1+a^(2)),...

    Text Solution

    |

  11. I : If x cos theta = y cos (120^@ + theta ) = z cos ( theta + 240^(@)...

    Text Solution

    |

  12. Statement I: If sin alpha = 12/13, (0 lt alpha lt pi/2) and cos beta =...

    Text Solution

    |

  13. If A=35^(@) , B= 15^(@) and C=40^(@) , then tan A* tan B+ tan B* tan...

    Text Solution

    |

  14. In an acute angled triangle, cot B cot C + cot A cot C + cot A cot B

    Text Solution

    |

  15. Arrange the following values in the ascending order of P,Q,R. If A+B+C...

    Text Solution

    |

  16. In triangle ABC, tan A + tan B + tan C = 6 and tanA tanB = 2, then the...

    Text Solution

    |

  17. Statement I : If m cos(theta+alpha)=n cos (theta-alpha) then tan theta...

    Text Solution

    |

  18. Let A=pi/7, B =(2pi)/7, C=(4pi)/7 and cosA cos B cosC=-1//8, then 2sum...

    Text Solution

    |

  19. If cos 2B=(cos (A+C))/(cos(A-C)) , then tan A , tan B , tan C are in

    Text Solution

    |

  20. If 2sec2theta = tan phi + cot phi, then one of the values of theta + p...

    Text Solution

    |