Home
Class 11
MATHS
If theta(1) , theta (2) , theta(3) …..th...

If `theta_(1) , theta _(2) , theta_(3) …..theta _(n) ` are in A.P. then `(sin theta _(1) + sin theta_(2) +…+ sin theta _(n))/(cos theta _(1) + cos theta _(2) +…+ cos theta _(n))`

A

0

B

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

C

`tan (( theta _(1) + theta _(n))/( 2))`

D

`tan (theta _(1) - theta _(n))/( 2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LACTURE SHEET (EXERCISE-I More than One correct answer Type Questions)|5 Videos

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LACTURE SHEET (EXERCISE-I Linked Comprehnsion Type Questions)|5 Videos

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCIE) (LEVEL-I SINGLE ANSWER TYPE QUESTIONS)|38 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos

Similar Questions

Explore conceptually related problems

If sin theta _1+ sin theta _2+ sin theta _3=3 " then " cos theta _1 + cos theta _2 + cos theta_3 =

If Sin theta_(1) + Sin theta_(2) + Sin theta_(3) = 3 then Cos theta_(1) + Cos theta_(2) + Cos theta_(3) =

( sin 3 theta )/( sin theta ) -(cos 3 theta )/( cos theta )=

If sum_(i=1)^(n)sin theta_(i)=n then cos theta_(1) + cos theta_(2) + ...+cos theta_(n)=

sin""(3 theta )/(2) cos""(theta )/(2) cos theta =

If Cos theta_(1) + Cos theta_(2) + Cos theta_(3) = 3 then Sin theta_(1) + Sin theta_(2) + Sin theta_(3) =

(sin theta - 2 sin^3 theta)/(2 cos^3 theta- cos theta) =………….

Show that (1)/(cos theta) - cos theta = tan theta. sin theta

( cos^(3 ) theta )/( 1 + sin theta ) + ( sin^(3) theta )/( 1- cos theta ) =

AAKASH SERIES-TRANSFORMATIONS -LACTURE SHEET (EXERCISE-I Straight Objective Type Questions)
  1. If alpha = (2pi )/(7) , then tan alpha tan 2 alpha + tan 2 alpha tan 4...

    Text Solution

    |

  2. sin "" (2pi)/(7) + sin "" (4pi)/(7) + sin "" (8pi)/(7) =

    Text Solution

    |

  3. sin "" (pi)/(7) sin "" (2pi)/(7) sin "" (4pi )/(7)=

    Text Solution

    |

  4. If A,B,C,D are four angles then sin (A-B) cos (A+B) + sin B (B-C) .c...

    Text Solution

    |

  5. If (x)/(y) = (cos A)/( cos B) then (x tan A +y tan B)/(x +y) =

    Text Solution

    |

  6. If a triangle ABC, cos A + cos B + cos C

    Text Solution

    |

  7. Let 0 lt A, B lt (pi)/(2) satisfying the equation 3 sin ^(2) A + 2 sin...

    Text Solution

    |

  8. If (cos x)/(a) = (cos(c + theta))/(b) = (cos (x + 2 theta))/© = (cos (...

    Text Solution

    |

  9. If theta(1) , theta (2) , theta(3) …..theta (n) are in A.P. then (sin...

    Text Solution

    |

  10. If x = sin alpha + sin beta, y = cos alpha + cos beta then tan alpha ...

    Text Solution

    |

  11. Let f(n)=2 cos nx AA n in N, then f(1)f(n+1)-f(n) is equal to

    Text Solution

    |

  12. If alpha, beta , gamma do not differ by a multiple of a pi and if ( co...

    Text Solution

    |

  13. If cos 2B=(cos (A+C))/(cos(A-C)) , then tan A , tan B , tan C are in

    Text Solution

    |

  14. If xy+yz+zx=1, " then " (x)/( 1+x^(2))+(y)/(1+y^2)+(z)/(1+z^(2))=

    Text Solution

    |

  15. The minimum value of expression sin alha + sin beta + sin gamma where...

    Text Solution

    |

  16. If cos A+ cos B + cos C =0 then cos 3A+ cos 3B + cos 3X

    Text Solution

    |

  17. In a triangle ABC

    Text Solution

    |

  18. In a Delta ABC, sin ^(4) A + sin ^(4) B + sin ^(4) C =

    Text Solution

    |

  19. If A+B+C=pi then |(sin^(2)A,cotA,1),(sin^(2)B,cotB,1),(sin^(2)C,cotC,1...

    Text Solution

    |

  20. If cos alpha + cos beta = 3/2 and sin alpha + sin beta = 1/2 and theta...

    Text Solution

    |