Home
Class 12
MATHS
If sin alpha + "cosec" alpha = 2, find v...

If `sin alpha + "cosec" alpha = 2`, find value of `sin^(n) alpha + "cosec"^(n) alpha, n in Z`.

A

3

B

2

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B ( COMPOUNDS ANGLES )|106 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -4|20 Videos
  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If alpha , beta are complementry angles such that bsin alpha = a , the find the value of (sin alpha cos beta - cos alpha sin beta) .

If (sin alpha + "cosec" alpha )^(2) + ( cos alpha + sec alpha )^(2)=k+ tan^(2) alpha + cot^(2) alpha then k=

(1)/(sec^(4) alpha ) +(1)/("cosec"^(4) alpha ) +(2)/(sec^(2) alpha + "cosec"^(2) alpha )=

If (sin alpha )/(a) = ( cos alpha )/(b) , then a sin 2alpha + b cos 2 alpha =

cos(n+1) alpha * cos(n-1)alpha + sin (n+1)alpha * sin (n-1) alpha =

If sin theta + cosec theta =2 then sin^(n) theta + cosec^(n) theta =

If sin 3alpha = 4 sin alpha sin (x + alpha)sin(x-alpha) , then x =

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
  1. If x=a ( " cosec " alpha + cot alpha) and y=(b(1- cos alpha))/(sin al...

    Text Solution

    |

  2. If sec theta + cos theta =1 , " then " sec^(3) theta + cos^(3) theta...

    Text Solution

    |

  3. If sin alpha + "cosec" alpha = 2, find value of sin^(n) alpha + "cosec...

    Text Solution

    |

  4. If tan^(2)theta = (1-e^2) show that sec theta + tan^(3). "cosec" theta...

    Text Solution

    |

  5. If sin theta + sin^(2) theta =1 , " then " cos^(2) theta + cos^(4) th...

    Text Solution

    |

  6. If sin x + sin^(2) x =1 " then " cos^(8) x + 2 cos^(6) x + cos^(4) x...

    Text Solution

    |

  7. If cos x + cos^(2) x =1 , " then " sin^(12) x + 3 sin^(10)x + 3sin^(8...

    Text Solution

    |

  8. If cos alpha + cos beta + cos gamma =3 , " then " sin alpha + sin bet...

    Text Solution

    |

  9. If sin theta 1+ sin theta 2+ sin theta 3=3 " then " cos theta 1 + cos...

    Text Solution

    |

  10. If sin theta , cos theta are ther roots of the equation ax^(2)-bx+c...

    Text Solution

    |

  11. If k=(1+ sin A) (1+ sin B)(1+ sin C)=(1- sin A) (1- sin B) (1- sin C) ...

    Text Solution

    |

  12. If k=( sec A + tan A) ( sec B+ tan B) sec C + tan C)=(sec A - tan A)(s...

    Text Solution

    |

  13. If sec theta =a+(1)/(4a) " then " sec theta + tan theta =

    Text Solution

    |

  14. If "cosec " theta =p+(1)/(4p) , " then cosec " theta + cot theta =

    Text Solution

    |

  15. If "cosec"^(2) theta = (4xy)/((x+y)^(2)), then

    Text Solution

    |

  16. If a sin x = b cos x =(2c tan x )/(1- tan^(2) x) " then " ((a^(2)-b^(...

    Text Solution

    |

  17. If (2 sin theta )/(1+ cos theta + sin theta )=x, find the value of (1...

    Text Solution

    |

  18. sqrt(1-sin^(2)100^(@))*sec 100^(@)=

    Text Solution

    |

  19. sqrt((1+sinA)/(1-sin A ))=

    Text Solution

    |

  20. If sqrt((1+ cos theta )/(1- cos theta ))="cosec " theta + cot theta " ...

    Text Solution

    |