Home
Class 12
MATHS
If 0 lt phi lt (pi)/(2) , x= sum(n=0)...

If `0 lt phi lt (pi)/(2) , x= sum_(n=0)^(oo) cos^(2n) phi ,y sum _(n=0)^(oo) sin ^(2n) phi and z = sum _(n=0) ^(oo) cos ^(2n) phi sin ^(2n) phi , ` then

A

`xyz=xz+y`

B

`xyz = xy +z`

C

`xyz = x +Y+z`

D

`xyz=yz +x`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|44 Videos
  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos
  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION|2 Videos

Similar Questions

Explore conceptually related problems

If x = sum_(n = 0)^(infty) cos ^(2n) theta, " "y = sum_(n = 0)^(infty) sin^(2n) theta and z = sum_(n = 0)^(infty) cos^(2n) theta sin^(2n)theta, 0 lt theta lt (pi)/(2) , then show that xyz = x + y + z [ Hint : use the formula 1 + x + x^(2) + x^(3) +... =(1)/(1 - x) , where |x| lt 1 ]

If xsum_(n=0)^(oo)cos^(2n)theta,y=sum_(n=0)^(oo)sin^(2n)thetaandz=sum_(n=0)^(oo)cos^(2n)thetasin^(2n)theta,ltthetalt(pi)/(2), then show that xyz = x + y + z.

Find sum_(n=1)^(oo)1/(n^2+5n+6)

sin (n +1) x sin (n +2) x + cos (n +1) x cos (n +2) x = cos x

If the sum of the series sum_(n=0)^oor^n ,|r|<1 is s , then find the sum of the series sum_(n=0)^oor^(2n) .

Find the sum_(k=1)^(oo) sum_(n=1)^(oo)k/(2^(n+k)) .

The expression sum_(n=1)^(oo)cot^(-1)(n^(2)-3n+3) simplifies to

NEW JOYTHI PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. The shadow of a tower is found to be 60 meter shorter when ...

    Text Solution

    |

  2. ABCD is a reactangular field .A vertical lamp post of height 12...

    Text Solution

    |

  3. If 0 lt phi lt (pi)/(2) , x= sum(n=0)^(oo) cos^(2n) phi ,y sum (n...

    Text Solution

    |

  4. Suppose o lt t lt (pi)/(2) and sin t + cos t =1/5 then tan "" t...

    Text Solution

    |

  5. the value cos 480^@ . Sin 150^@ + sin 600^@ . Cos 390^@ =

    Text Solution

    |

  6. If the angles of a triangles are in the ratio 3 : 4: 5 then the ...

    Text Solution

    |

  7. IF ( sin ( x+y) )/( sin (x-y) ) = (a+b)/( a-b) , then ( tan x)/( ...

    Text Solution

    |

  8. IF A + B = (pi)/(4) then ( tan A +1) ( tan B+1) equals

    Text Solution

    |

  9. If in a triangle ABC , a=15 , b= 36 , c = 39 then sin"" (C )/(2)=

    Text Solution

    |

  10. (1) /( cos 80^@ ) - ( sqrt(3))/( sin 80 ^@) =

    Text Solution

    |

  11. Let ABC be a triangle with b = 5 , c = 11 if the medium AD is...

    Text Solution

    |

  12. A tower subtends an angle alpha at a point A in the plane of...

    Text Solution

    |

  13. If in the triangle ABC , B = 45^@ , then a^4 + b^4 +c^4 =

    Text Solution

    |

  14. Th period of the function f(x) = | sin x|+| cos x | is

    Text Solution

    |

  15. The period of the function f(x) = a^({ tan ( pi x) } +x -[x] ...

    Text Solution

    |

  16. IF A+B+C =pi , then tan ((A)/(2)) tan ((B)/(2)) + tan (B/2) tan (...

    Text Solution

    |

  17. If sin 4 A - cos 2 A = cos 4 A - sin 2A (0 lt Alt (pi)/( 4)) t...

    Text Solution

    |

  18. In A Delta ABC if ( sqrt(3)-1)a=2b, A=3B then c is

    Text Solution

    |

  19. If x sin ^3 theta +y cos^3 theta = sin theta cos theta and x sin ...

    Text Solution

    |

  20. In a Delta ABC If tan"" (A )/(2 ) = (5 )/(6) , tan ""(C )/...

    Text Solution

    |