Home
Class 11
MATHS
If sinx+sin y+sinz+sinw=-4, then the va...

If `sinx+sin y+sinz+sinw=-4,` then the value of `sin^(400)x+sin^(300)y+sin^(200)z+sin^(100)w` is `sin^(400)xsin^(300)ysin^(200)z+sin^(100)w` `sinxsinysinz sinw` 4 (d) 3

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If sinx+siny+sinz+sinw=-4" then the value of "sin^400x+sin^300y+sin^200z+sin^100w is

Find the value of sin300^(@)

If sin x+siny=3(cosy-cosx), then the value of (sin3x)/(sin3y), is

Find the value of sin330^(@)cos120^(@)+cos210^(@)sin300^(@)

Find the value of sin 750^(@)cos300^(@)+cos1470^(@)sin(-1020^(@))

The value of sinx siny sin(x-y)+sinysinz sin(y-z) +sinz sinx sin(z-x)+sin(x-y)sin(y-z)sin(z-x), is

The value of 2 cos10^(@)+sin 100^(@)+sin 1000^(@)+sin 10000^(@) is

if y = A sin(omega t - kx) , then the value of (dy)/(dx) is

If sin^-1x+sin^-1y+sin^-1z=(3pi)/2 , then find the value of x^2+y^2+z^2

The value of (sin 1^(@) +sin 3^(@) + sin 5^(@) +sin 7^(@))/(cos 1^(@)*cos 2^(@)sin 4^(@)) is __________

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that: sin10^0sin30^0sin50^0sin70^0=1/(16)dot

    Text Solution

    |

  2. In A B C ,(sinA(a-bcosC))/(sinC(c-bcosA) = (a) -2 (b) -1 (c) 0 (d...

    Text Solution

    |

  3. If sinx+sin y+sinz+sinw=-4, then the value of sin^(400)x+sin^(300)y+s...

    Text Solution

    |

  4. Prove that cos20^0cos40^0cos60^0cos80^0=1/(16)dot

    Text Solution

    |

  5. Find common roots of the equations 2sin^2x+sin^2 2x=2a n dsin2x+cos2x=...

    Text Solution

    |

  6. The sides of a triangle are in A.P. and its area is 3/5t h of the an e...

    Text Solution

    |

  7. If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0ltxltpi, then xis ...

    Text Solution

    |

  8. If K=sin(pi/(18))sin((5pi)/(18))sin((7pi)/(18)), then the numerical va...

    Text Solution

    |

  9. One of the general solutions of 4sin^4x+cos^4x=1 is

    Text Solution

    |

  10. The value of the expression (tan^2 20^0-sin^2 20^0)/(tan^2 20^0+sin^2 ...

    Text Solution

    |

  11. A piece of paper is in the shape of a square of side 1m long. It is cu...

    Text Solution

    |

  12. If sinx+cosx=(sqrt(7))/2, where x in 1s t quadrant, then tanx/2 is ...

    Text Solution

    |

  13. If tantheta+sectheta=1. 5 , find sintheta,tantheta and secthetadot

    Text Solution

    |

  14. Show that the line joining the incenter to the circumcenter of triangl...

    Text Solution

    |

  15. For n in Z , the general solution of (sqrt(3)-1)sintheta+(sqrt(3)+1)c...

    Text Solution

    |

  16. The value of cot70^0+4cos70^0 is (a)1/(sqrt(3)) (b) sqrt(3) (c) ...

    Text Solution

    |

  17. In A B C , right-angled at C , if tanA=sqrt((sqrt5-1)/2) , show tha...

    Text Solution

    |

  18. If cosectheta-sintheta=m a n d sectheta-costheta=n ,"eliminate"theta

    Text Solution

    |

  19. The solution of 4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z) (a) ...

    Text Solution

    |

  20. The value of sinpi/(14)sin(3pi)/(14)sin(5pi)/(14)sin(7pi)/(14)sin(9pi)...

    Text Solution

    |