Home
Class 12
MATHS
If un=sin(n theta) sec^n theta,vn=cos(nt...

If `u_n=sin(n theta) sec^n theta,v_n=cos(ntheta)sec^ntheta ` `n in N n!=1` then `(v_n-v_(n-1))/(u_(n-1))+1/n (u_n/v_n)=`

A

0

B

`tan theta`

C

`-tan theta+ (tan n theta)/(n)`

D

`tan theta + tan theta + (tan n theta)/(n)`

Text Solution

Verified by Experts

The correct Answer is:
C
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

If u_(n)=sin(n theta)sec^(n)theta,v_(n)=cos(n theta)sec^(n)thetan in Nn!=1 then (v_(n)-v_(n-1))/(u_(n-1))+(1)/(n)((u_(n))/(v_(n)))=

If u_(n)=sin(n theta)sec^(n)theta,v_(n)=cos(n theta)sec^(n)thetan in N,n!=1, then (v_(n)-v_(n-1))/(v_(n-1))+(1)/(n)((u_(n))/(v_(n)))

If cos theta+sec theta=2 then cos^(n)theta+sec^(n)theta=2 .Find n=

If u_(n)=int_(0)^((pi)/(2))theta sin^(n)theta d theta and n>=1, then prove that u_(n)=((n-1)/(n))u_(n-2)+(1)/(n^(2))

If sin theta+cos theta=m and sec theta+cos ec theta=n then n(m+1)(m-1) equals

sin^(2)n theta-sin^(2)(n-1)theta=sin^(2)theta where n is constant and n!=0,1

If u_(n) = sin ^(n) theta + cos ^(n) theta, then 2 u_(6) -3 u_(4) is equal to

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. In DeltaABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA Sin...

    Text Solution

    |

  2. If alpha, beta, gamma are acute angles and cos theta = sin beta//sin a...

    Text Solution

    |

  3. if tanbeta=(nsinalphacosbeta)/(1-nsin^2alpha) then prove that tan(alph...

    Text Solution

    |

  4. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

    Text Solution

    |

  5. The graph of the function, cos x cos (x +2) -cos^2 (x+1) is

    Text Solution

    |

  6. If f (theta) = |sin theta| + |cos theta|, theta in R, then

    Text Solution

    |

  7. If P=cos(cos x)+sin (cos x), then the least and greatest value of P re...

    Text Solution

    |

  8. If un=sin(n theta) sec^n theta,vn=cos(ntheta)sec^ntheta n in N n!=1 t...

    Text Solution

    |

  9. If 0lt=xlt=pi/3 then range of f(x)=sec(pi/6-x)+sec(pi/6+x) is (4/(sqrt...

    Text Solution

    |

  10. If A=sin^(8) theta + cos^(14) theta, then for all values of theta,

    Text Solution

    |

  11. Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(...

    Text Solution

    |

  12. The maximum value of sin(theta+pi/6)+cos(theta+pi/6) is attained at th...

    Text Solution

    |

  13. If cot^(2)x=cot(x-y)*cot(x-z), then cot2x is equal to (x!= pm pi/4)

    Text Solution

    |

  14. The minimum value of the expression sin alpha + sin beta+ sin gamma, ...

    Text Solution

    |

  15. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

    Text Solution

    |

  16. If cos^4 theta sec^2 alpha,1/2 and sin^4 theta cosec^2 alpha are in ...

    Text Solution

    |

  17. The maximum value of (cosalpha(1))(cosalpha(2))...(cosalpha(n)), under...

    Text Solution

    |

  18. Find the set of values of x , which satisfy sin x * cos^(3) x gt cos *...

    Text Solution

    |

  19. If u=sqrt(a^2cos^2theta+b^2sin^2theta)+sqrt(a^2sin^2theta+b^2cos^2thet...

    Text Solution

    |

  20. For a positive integer n , fn(theta)=(tantheta/2)(1+sectheta)(1+sec2th...

    Text Solution

    |