Home
Class 11
MATHS
If sin+cosecx = 2, then sin^(n)x +cosec^...

If sin+cosecx = 2, then `sin^(n)x +cosec^(n) x` is equal to

A

2

B

1

C

2

D

`2^(n-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise PRATICE SHEET (EXERCISE) (LEVEL-II(ADVANCED) (SINGLE ANSWER TYPE QUESTIONS)|10 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise PRATICE SHEET (EXERCISE) (LEVEL-II(ADVANCED) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|5 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) (LEVEL - II (ADVANCED) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|9 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Practice Exercise|34 Videos

Similar Questions

Explore conceptually related problems

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

If 2sin x + cosec x = 3 then theta =

If y = sin(m sin^(-1)x) , then (1-x^(2))y_(2) - xy_(1) is equal to (Here, y_(n) denotes (d^(n)y)/(dx^(n)) )

If cosec^(-1)(cosecx) and cosec(cosec^(-1)x) are equal funtions, then the maximum range of value of x is

If cosec^(-1)(cosecx) and cosec(cosec^(-1)x) are equal functions, then the maximum range of value of x is

Lim_(x to oo)[1+"sin"(a)/(n)]^(n) is eqal to

If x = "cosec" theta - sintheta, y = "cosec"^(n)theta - sin^(n) theta then (x^2+4)((dy)/(dx))^2 -n^2y^2 =

AAKASH SERIES-TRIGONOMETRIC RATIOS-PRATICE SHEET (EXERCISE) (LEVEL-I(MAIN) (SINGLE ANSWER TYPE QUESTIONS)
  1. If theta lies in the first quadrant and 5 tan theta = 4 , " then "...

    Text Solution

    |

  2. If sin+cosecx = 2, then sin^(n)x +cosec^(n) x is equal to

    Text Solution

    |

  3. If Sin theta(1) + Sin theta(2) + Sin theta(3) = 3 then Cos theta(1) + ...

    Text Solution

    |

  4. If sinx + siny + sinz + sinzw = - 4. then the value of sin^(400)x + s...

    Text Solution

    |

  5. 5 sin x + 4 cos x =3 rArr 4 sin x - 5 cos x=

    Text Solution

    |

  6. If alpha, beta are complementary angles, sin alpha = (3)/(5) then cos ...

    Text Solution

    |

  7. cot^(2) theta ((sec theta -1)/(1+ sin theta ))+ sec^(2) theta ((sin th...

    Text Solution

    |

  8. If xtan^(2) 120^(@) + 4 cos^(2) 150^(@) = 9 then x =

    Text Solution

    |

  9. In Delta ABC,right angled at C, then tanA + tanB =

    Text Solution

    |

  10. The value of the expression (2sin^(2)91^(0)-1)(2sin^(2)92^(0)-1)..(2si...

    Text Solution

    |

  11. If sec^(4) theta+ sec^(2) theta = 10 +tan^(4)theta + tan^(2) theta, th...

    Text Solution

    |

  12. cosecA + cot A=(2)/(3) rArr cos A=

    Text Solution

    |

  13. sinx + sin^(2) x = 1 rArr cos^(2) x + cos^(4) x=

    Text Solution

    |

  14. cosx+cos^(2) x = 1 rArr sin^(8) x + 2sin^(6) x+sin^(4) x =

    Text Solution

    |

  15. If sin x + cos x =a then |sin x - cos x|=

    Text Solution

    |

  16. If a sin^(2) theta+bcos^(2) theta = c, then tan^(2) theta =

    Text Solution

    |

  17. (1+sinA)(1+sinB)(1+sinC) = (1-sinA)(1-sinB)(1-sinC) = k rArr k=

    Text Solution

    |

  18. If (sin alpha + "cosec" alpha )^(2) + ( cos alpha + sec alpha )^(2)=k+...

    Text Solution

    |

  19. If 1+sin x + sin^(2)x +….oo = 4 + 2sqrt(3), 0 lt x lt pi, x ne pi//2 t...

    Text Solution

    |

  20. If asec theta + b tan theta = c then ( theta + bsec theta)^(2) =

    Text Solution

    |