Home
Class 12
MATHS
Find the sum of n terms: sin theta + s...

Find the sum of n terms:
`sin theta + sin(pi + theta) + sin (2pi + theta) + sin(3pi + theta)+......`

Text Solution

Verified by Experts

The correct Answer is:
0 when n is even and `sin theta` when n is odd
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise EXERCISE - LONG ANSWER TYPE QUESTIONS (5 marks)|11 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - MULTIPLE CORRECT ANSWERS TYPE|5 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise EXERCISE - VERY SHORT ANSWER TYPE QUESTIONS (2 marks)|14 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise sample questions for competive examination|20 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Prove that 4 sin theta sin(pi/3 + theta) sin (pi/3-theta) = sin 3 theta

sin theta + sin 5 theta = sin 3theta (0 le theta le 2pi)

Prove that "sin"((2pi)/3+theta)-"sin"((2pi)/3-theta) + sintheta=0

Find the value of theta for which sin theta sin(theta - pi/3 ) is maximum.

Prove that, sin^(2) (pi/8 + theta/2) - sin^(2)(pi/8 - theta/2) = 1/sqrt2 sin theta

If sin theta + cos theta=0 and 0 lt theta lt pi , then theta=

Prove that, (1 + sin 2 theta - cos 2 theta)/(sin theta + cos theta)= 2 sin theta

If 0 < theta < pi , then the value of sqrt((1 - sin theta)/(1 + sin theta)) + sqrt((1 + sin theta)/(1 - sin theta)) will be-

Find the number of solution for sin 5theta cdot cos 3theta = sin 9theta cos 7theta in [0, pi/2]

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES-EXERCISE - SHORT ANSWER TYPE QUESTIONS (4 marks)
  1. If tan theta = 15/8 and cos theta is negative, find the value of (sin ...

    Text Solution

    |

  2. If theta lies in the fourth quadrant and "sec" theta = 5/3 then find t...

    Text Solution

    |

  3. Find the sum of n terms: sin theta + sin(pi + theta) + sin (2pi + th...

    Text Solution

    |

  4. If n is an integer, prove that, (i) cos(n pi + theta) = (-1)^(n) cos...

    Text Solution

    |

  5. If n is an integer, prove that, (ii) tan{(n pi)/2 + (-1)^(n) pi/4} =...

    Text Solution

    |

  6. If n is an integer, prove that, (iii) sin{n pi + (-1)^(n) cdot (pi)/...

    Text Solution

    |

  7. If n is an integer, prove that, (iv) tan (n pi + alpha) = tan alpha

    Text Solution

    |

  8. If A,B,C are the angles of a triangle, show that, (i) sin B cos(C +A...

    Text Solution

    |

  9. If A,B,C are the angles of a triangle, show that, (ii) tan ((A - B)/...

    Text Solution

    |

  10. If A,B,C are the angles of a triangle, show that, (iii) (cos A cos C...

    Text Solution

    |

  11. If A,B,C are the angles of a triangle, show that, (iv) (tan(B + C) +...

    Text Solution

    |

  12. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

    Text Solution

    |

  13. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

    Text Solution

    |

  14. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

    Text Solution

    |

  15. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

    Text Solution

    |

  16. Prove that, tan 1^(@) tan 2^(@) tan 3^(@).....tan 87^(@) tan 88^(@) ta...

    Text Solution

    |

  17. Prove that, tan^(2) (pi/6) cdot tan^(2)(2pi/16) cdot tan^(2) (3pi/16) ...

    Text Solution

    |

  18. Show that, tan 181^(@) tan182^(@) tan 183^(@).....tan 267^(@) tan 268^...

    Text Solution

    |

  19. Prove that, cos^(2) (pi/4) + sin^(2) (3pi/4) + sin^(2) (5pi/4) + sin^(...

    Text Solution

    |

  20. Find the minimum value of 2^(sin^2 theta) + 2^(cos^2 theta).

    Text Solution

    |