Home
Class 11
MATHS
If sinx + siny + sinz + sinzw = - 4. th...

If sinx + siny + sinz + sinzw = - 4. then the value of `sin^(400)x + sin^(300) y + sin^(200) z + sin^(100)` w is

A

`sin^(400) x.sin^(300) y.sin^(200) z+sin^(100)w`

B

`sin.x.siny.sinzxxsinw`

C

4

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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 4 sin x.sin 2x.sin 4x = sin 3x then theta =

sin 2x.sin 3x.sin 4x

The minimum value of sin x sin(60^@ -x) sin(60^@ + x) is

If sin ^(2) x + (1)/(4) sin^(2) 3x = sin x sin^(2) 3 x then x =

Find the value of sin 330^(@) .cos 120^(@) + cos 210^(@) . Sin 300^(@) .

If sin x + sin y =(1)/4 , sin x- sin y =1/5 , " then " 4 cot ""((x-y)/2)=

If sin(sin x + cos x) = cos (cos x - sin x) then the largest possible value of sin x is

The maximum value of (sin x )^(sin x) is

AAKASH SERIES-TRIGONOMETRIC RATIOS-PRATICE SHEET (EXERCISE) (LEVEL-I(MAIN) (SINGLE ANSWER TYPE QUESTIONS)
  1. If sin+cosecx = 2, then sin^(n)x +cosec^(n) x is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. (1+sinA)(1+sinB)(1+sinC) = (1-sinA)(1-sinB)(1-sinC) = k rArr k=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The value of cos""(pi)/(7)+cos""(2pi)/(7)cos""(3pi)/(7)+cos""(4pi)/(7...

    Text Solution

    |