Home
Class 12
MATHS
x=sum(n=0)^(oo)cos^(2n)theta, y=sum(n=0)...

`x=sum_(n=0)^(oo)cos^(2n)theta, y=sum_(n=0)^(oo)sin^(2n)theta, z=sum_(n=0)^(oo)cos^(2n)sin^(2n)theta, |cos theta| lt 1, |sin theta| lt 1` then `x+y+z` is equal to

A

xy

B

yz

C

zx

D

xyz

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|32 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE/JEE Main Papers|48 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 1 Single Correct Answer Type Questions)|53 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

let 0

If =sum_(n=0)^(oo)cos^(2n)theta,quad y=sum_(n=0)^(oo)sin^(2n)phi,z=sum_(n=0)^(oo)cos^(2n)theta sin^(2n)phi, where 0

If 0 lt theta, phi lt (pi)/(2), x = sum_(n=0)^(oo)cos^(2n)theta, y=sum_(n=0)^(oo)sin^(2n)phi and z=sum_(n=0)^(oo)cos^(2n)theta*sin^(2n)phi then :

If x=sum_(n=0)^(oo) a^(n),y=sum_(n=0)^(oo)b^(n),z=sum_(n=0)^(oo)(ab)^(n) , where a,blt1 , then

If 0

If x = sum_(n=0)^(oo) a^(n), y=sum_(n=0)^(oo) b^(n), z = sum_(n=0)^(oo) C^(n) where a,b,c are in A.P. and |a| lt 1, |b| lt 1, |c| lt 1 , then x,y,z are in

If a=sum_(n=0)^(oo)x^(n),b=sum_(n=0)^(oo)y^(n),c=sum_(n=0)^(oo)(xy)^(n) where |x|,|y|<1 then

If a=sum_(n=0)^(oo)x^(n),b=sum_(n=0)^(oo)y^(n),c=sum_(n=0)^(oo)(xy)^(n) where |x|,|y|<1 then

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -EXERCISE (LEVEL 2 Single Correct Answer Type Questions)
  1. Given the height h and the angle bisector l drawn from the vertex of t...

    Text Solution

    |

  2. If 2sin^(2)(x+pi//4)+sqrt(3) cos2x gt 0, then

    Text Solution

    |

  3. x=sum(n=0)^(oo)cos^(2n)theta, y=sum(n=0)^(oo)sin^(2n)theta, z=sum(n=0)...

    Text Solution

    |

  4. The least positive value of x satisfying (sin^(2)2x+4sin^(4)x-4sin^...

    Text Solution

    |

  5. cos7.5^(@)=

    Text Solution

    |

  6. If x=X cos theta-Y sin theta, y=X sin theta+Y cos theta and ax^(2)+2b...

    Text Solution

    |

  7. If sin 5 theta=a sin^(5) theta+bsin^(3)theta+c sin theta+d, then

    Text Solution

    |

  8. If tan A-tanB=x and cotB-cotA=y, then the value of cot(A-B) is

    Text Solution

    |

  9. (cos 3 theta)/(cos^(3)theta)+(sin 3 theta)/(sin^(3)theta) is equal to

    Text Solution

    |

  10. (x tan alpha+y cot alpha) (x cot alpha+y tan alpha) -4xy cot^(2)2alpha...

    Text Solution

    |

  11. If tanA, tanB, tanC satisfy the equation 3tan^(3)theta-4tan^(2)theta+3...

    Text Solution

    |

  12. If x sin theta+y sin 2 theta+z sin 3 theta=sin 4 theta, (theta pi n pi...

    Text Solution

    |

  13. The number of values of sin x satisfying sin 5 x =5 sin x is

    Text Solution

    |

  14. If sin alpha, sin beta are the roots of the equation a sin^(2)theta+b ...

    Text Solution

    |

  15. If sin (theta//2)=a, cos (theta//2)=b, then (1+sin theta)(3sin theta+4...

    Text Solution

    |

  16. If sinA=sinB and cosA=cosB, A pi B, then

    Text Solution

    |

  17. cos22^(@)+cos78^(@)+cos80^(@)=

    Text Solution

    |

  18. tan x +(1)/(2) "tan"(x)/(2)+(1)/(2^(2))"tan"(x)/(2^(2))+….+(1)/(2^(n-1...

    Text Solution

    |

  19. The value of (3+cot76^@cot16^@)/(cot76^@+cot16^@) is

    Text Solution

    |

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

    Text Solution

    |