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

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

A

`-cos theta+(1)/(n) tan(n theta)`

B

`cot theta +(1)/(n) tan (n theta)`

C

`tan theta+(1)/(n)tan (n theta)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-2 : One or More than One Answer is/are Correct|26 Videos

  • COMPOUND ANGLES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-3 : Comprehension Type Problems|12 Videos

  • COMPLEX NUMBERS

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|23 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 N,n!=1, then (v_(n)-v_(n-1))/(v_(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 Nn!=1 then (v_(n)-v_(n-1))/(u_(n-1))+(1)/(n)((u_(n))/(v_(n)))=

If u_n = 2cos n theta then u_1u_n - u_(n-1) is equal to

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

VIKAS GUPTA (BLACK BOOK)-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
  1. If un= sin (ntheta) sec^ntheta, vn= cos(ntheta)sec^ntheta, n in N, n!=...

    Text Solution

    |

  2. Let P=(sin80^(@)sin65^(@) sin35^(@))/(sin20^(@)+sin50^(@)+sin110^(@))...

    Text Solution

    |

  3. The value of expression (1-cot23^(@))(1-cot22^(@)) is equal to :

    Text Solution

    |

  4. If tanA and tanB the roots of the quadratic equation, 4x^(2)-7x+1=0 th...

    Text Solution

    |

  5. A(1)A(2)A(3)………A(18) is a regular 18 sided polygon. B is an external p...

    Text Solution

    |

  6. If 10sin^4 alpha +15cos^4alpha=6 then the value of 9cosec^4 alpha + 8...

    Text Solution

    |

  7. The value of (1+tan\ (3pi)/8*tan\ pi/8)+(1+tan\ (5pi)/8*tan\ (3pi)/8)+...

    Text Solution

    |

  8. If alpha=pi/7 then find the value of (1/cosalpha+(2cosalpha)/(cos2alph...

    Text Solution

    |

  9. Given the for a,b,c,d in R, if a sec(200^@)- ctan(200^@)=d and b sec(...

    Text Solution

    |

  10. The expression 2"cos"(pi)/(17)*"cos"(9pi)/(17)+"cos"(7pi)/(17)+"cos"(9...

    Text Solution

    |

  11. If the expression (sin theta sin2theta+sin3theta sin60theta+sin4theta...

    Text Solution

    |

  12. Let a=sin10^(@), b =sin50^(@), c=sin70^(@)," then " 8abc((a+b)/(c ))((...

    Text Solution

    |

  13. If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a s...

    Text Solution

    |

  14. If sum(r=1)^(n)((tan 2^(r-1))/(cos2^(r )))=tanp^(n)-tan q, then find t...

    Text Solution

    |

  15. If x=sec theta-tan theta and y="cosec"theta+cot theta," then " y-x-xy...

    Text Solution

    |

  16. If cos18^(@)-sin18^(@)=sqrt(n)sin27^(@), then n=

    Text Solution

    |

  17. The value of 3(sin1-cos1)^(4)+6(sin1+cos1)^(2)+4(sin^(6)1+cos^(6)1) i...

    Text Solution

    |

  18. Q. x=a satisfy the equation 3^(sin 2x+2 cos^2 x)+3^(1-sin 2x+2 sin^ 2x...

    Text Solution

    |

  19. The minimum value of (sintheta+c o s e ctheta)^2+(costheta+sectheta)^...

    Text Solution

    |

  20. If tan20^0+tan40^0+tan80^0-tan60^0= lambdasin40^0,

    Text Solution

    |

  21. If K^(@) lies between 360^(@) and 540^(@) and K^(@) satisfies the equa...

    Text Solution

    |