Home
Class 12
MATHS
If P=(tan(3^(n+1)theta)-tan theta) and Q...

If `P=(tan(3^(n+1)theta)-tan theta) and Q=sum_(r=0)^(n) (sin(3^(r )theta))/(cos(3^(r+1)theta))`, then

A

`P=2Q`

B

`P=3Q`

C

`2P=Q`

D

`3P=Q`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

Statement I Pi_(r=1)^(n) (1+sec 2^(r)theta)=tan 2^(n)theta cot theta Statement II Pi_(r=1)^(n) cos (2^(r-1)theta)=(sin(2^(n)theta))/(2^(n)sin theta)

If (cos^(3) theta )/( (1- sin theta ))+( sin^(3) theta )/( (1+ cos theta ))=1+ cos theta , then number of possible values of theta is ( where theta in [0,2pi] )

If sum_(i=1)^(n) cos theta_(i)=n , then the value of sum_(i=1)^(n) sin theta_(i) .

If sum_(i=1)^(n) cos theta_(i)=n , then the value of sum_(i=1)^(n) sin theta_(i) .

Prove the following identity : 1/(sec theta-tan theta)= (1+sin theta)/(cos theta) = sec theta+tan theta .

Simplify the following : (sin (- theta) tan(180^@ +theta) tan (90^@ +theta))/(cot (90^@-theta)cos (360^@-theta) sin (180^@-theta)) .

If (cos theta_(1))/(cos theta_(2))+(sin theta_(1))/(sin theta_(2))=(cos theta_(0))/(cos theta_(2))+(sin theta_(0))/(sin theta_(2))=1 , where theta_(1) and theta_(0) do not differ by can even multiple of pi , prove that (cos theta_(1)*cos theta_(0))/(cos^( 2)theta_(2))+(sin theta_(1)*sin theta_(0))/(sin^(2) theta_(2))=-1

Vertices of a variable triangle are (3, 4), (5 cos theta, 5 sin theta) and (5 sin theta, -5 cos theta) , where theta in R . Locus of its orthocentre is

Prove the following identity : 1/(sec theta+tan theta)= (1-sin theta)/(cos theta) = sec theta-tan theta .

If m tan(alpha-theta)/( cos^2 theta) = n (tan theta)/ (cos^2 (alpha - theta) the prove that 2 theta = alpha - [ tan^(-1) ((n-m)/(n+m)) tan alpha]

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. sin(pi/2^2009)cos(pi/2^2009)cos(pi/2^2008).....cos(pi/2^2) is

    Text Solution

    |

  2. If tanB= (nsinA cosA)/(1-ncos^2A)then tan(A +B) equals

    Text Solution

    |

  3. If P=(tan(3^(n+1)theta)-tan theta) and Q=sum(r=0)^(n) (sin(3^(r )theta...

    Text Solution

    |

  4. Find the value of (cos^(4)1^(@)+cos^(4)2^(@)+cos^(4)3^(@)+......+cos^(...

    Text Solution

    |

  5. Suppose that 'a' is a non-zero real number for which sin x+sin y=a and...

    Text Solution

    |

  6. Let P(x)=sqrt(( cosx +cos2x+cos3x)^2+ (sin x + sin 2x+sin3x)^2) then P...

    Text Solution

    |

  7. If the maximum value of the expression 1/(5sec^2theta-tan^2theta+4cose...

    Text Solution

    |

  8. Let fn(a)=(sinalpha+sin3alpha+sin5alpha+...+sin(2n-1)alpha)/(cosalpha+...

    Text Solution

    |

  9. The minimum value of |sinx+cosx+(cosx+sinx)/(cos^(4)x-sin^(4)x)| is

    Text Solution

    |

  10. If a = cos (2012 pi), b = sec (2013 pi) and c = tan (2014 pi) then a. ...

    Text Solution

    |

  11. In a Delta ABC, the minimum value of sec^(2). (A)/(2)+sec^(2). (B)/...

    Text Solution

    |

  12. The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4...

    Text Solution

    |

  13. In a DeltaABC,3 sin A+4 cos B=6 and 3 cos A+4 sinB=1, then angleC can ...

    Text Solution

    |

  14. An equilateral triangle has side length 8. The area of the region cont...

    Text Solution

    |

  15. If a cos^3 alpha +3acosalpha*sin alpha = m and a sin^3alpha +3a cos^3a...

    Text Solution

    |

  16. If AD is the altitude on BC and AD produced meets the circumcircle of ...

    Text Solution

    |

  17. One side of a rectangular piece of paper is 6 cm, the adjacent sides b...

    Text Solution

    |

  18. Prove that the average of the numbers n sin n^@, n = 2,4,6...180 is c...

    Text Solution

    |

  19. A circle is inscribed inside a regular pentagon and another circle is ...

    Text Solution

    |

  20. The value of sum(r=1)^(18) cos^(2)(5r)^(@), where x^(@) denotes the x ...

    Text Solution

    |