Home
Class 14
MATHS
For all alpha.i s, (i=1,2,3............2...

For all `alpha._i s, (i=1,2,3............20)` lying between `0^@` and `90^@`, it is given that `sin alpha_1+ sin alpha_2+ sin alpha_3...........sin alpha_20=20`.What is the value (in degrees) of `(alpha_1+ alpha_2+alpha_3.......alpha_20)` ?
`0^@` से `90^@` के बीच स्थित सभी `alpha._i s, (i=1,2,3............20)` के लिए, यह दिया गया है कि `sin alpha_1+ sin alpha_2+ sin alpha_3...........sin alpha_20=20` है | `(alpha_1+ alpha_2+alpha_3.......alpha_20)` का मान (डिग्री में) ज्ञात करें |

A

1800

B

900

C

0

D

20

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SSC MATHS MAINS 2018 TRIGNOMETRY

    PINNACLE|Exercise Exercise|29 Videos
  • WORK AND TIME

    PINNACLE|Exercise EXERCISE|209 Videos

Similar Questions

Explore conceptually related problems

For all alpha_i^t s, (i=1,2,3............20) lying between 0^@ and 90^@ , it is given that cos alpha_1+ cos alpha_2+ cos alpha_3...........cos alpha_20= 20 . What is the value (in degrees) of (alpha_1+ alpha_2+ alpha_3 .......alpha_20) ? 0^@ से 90^@ के बीच स्थित सभी alpha_i^t s, (i=1,2,3............20) के लिए, यह दिया गया है कि cos alpha_1+ cos alpha_2+ cos alpha_3...........cos alpha_20= 20 है | (alpha_1+ alpha_2+ alpha_3 .......alpha_20) का मान (डिग्री में) ज्ञात करें |

sin alpha * sin (60-alpha) sin (60 + alpha) = (1) / (4) * sin3 alpha

Sum the series: sin alpha - sin 2alpha + sin 3alpha - sin 4alpha + ... to n terms.

prove that 4sin alpha*sin(alpha+(pi)/(3))*sin(alpha+(2 pi)/(3))=sin3 alpha

Show that 4sin alpha*sin(alpha+(pi)/(3))sin(alpha+2(pi)/(3))=sin3 alpha

Find the value of sin 2 alpha, if sin alpha+ cos alpha=(1)/(3) .

If alpha=(pi)/(21) then (sin3 alpha-sin7 alpha)/(sin24 alpha+sin14 alpha)=

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 + cos alpha + sinalpha)/(1 + sin alpha) is equal to

If A=[[cosalpha, -sin alpha] , [sin alpha, cos alpha]] then A+A'=I then alpha=

PINNACLE-TRIGONOMETRY-EXERCISE
  1. If sec theta=4x and tan theta=4/x, (x ne 0) then the value of 8(x^2-1/...

    Text Solution

    |

  2. For alpha and beta both being acute angles, it is given that sin(alph...

    Text Solution

    |

  3. For all alpha.i s, (i=1,2,3............20) lying between 0^@ and 90^@,...

    Text Solution

    |

  4. Which among the following is an irrational quantity? निम्न में से क...

    Text Solution

    |

  5. If sin theta+cosec theta=2, then what is the value of (sin^153 theta+c...

    Text Solution

    |

  6. If cosx = (-sqrt3)/2 and pi prec x prec (3 pi)/2, then the value of 4c...

    Text Solution

    |

  7. If 12cot^2 theta-31 cosec theta+32=0, 0^@< theta<90^@, then the values...

    Text Solution

    |

  8. If ((tan theta-sec theta+1)/(tan theta+sec theta-1)) sec theta=1/k, t...

    Text Solution

    |

  9. If (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+k, then k = ....

    Text Solution

    |

  10. When 2 sin^2 theta =3 cos theta, and 0letheta le90, then theta = जब...

    Text Solution

    |

  11. The value of (sin^2 60^@- cos^2 45^@+ sec 60^@+ cos^2 40^@+ cos^2 50^@...

    Text Solution

    |

  12. If tan theta=3/4, then (4 sin theta- cos theta)/(4 sin theta+ cos thet...

    Text Solution

    |

  13. If cot theta= 3/4, then sin theta+cos theta-tan theta is: यदि cot th...

    Text Solution

    |

  14. The value of sec^2 28^@-cot^2 62^@+ sin^2 60^@+ cosec^2 30^@ is equal ...

    Text Solution

    |

  15. If tan 4 theta=cot(2 theta+30^@), then theta is equal to: यदि tan ...

    Text Solution

    |

  16. The value of cot^2 62^@- sec^2 28^@+ cosec^2 30^@+ tan^2 60^@ is equal...

    Text Solution

    |

  17. If Sin theta= Cos(50^@+theta), then theta is equal to: Sin theta=...

    Text Solution

    |

  18. The value of sin^2 48^@ +sin^2 42^@ - sec^2 30^@+ tan^2 60^@ is equal ...

    Text Solution

    |

  19. If Sec theta=13/5, then tan theta- Sin theta+Cos theta is equal to: ...

    Text Solution

    |

  20. If Sin 5 theta=Cos(50^@-3 theta), then theta is equal to: यदि Sin ...

    Text Solution

    |