Home
Class 11
MATHS
Solve 1+sinxsin^2x/2=0...

Solve `1+sinxsin^2x/2=0`

Text Solution

Verified by Experts

`1+sinxsin^2(x/2) = 0`
`=>1+sinx((1-cosx)/2) = 0`
`=>2+sinx-sinxcosx = 0`
`=>2+sinx-(sin2x/2) = 0`
`=>2+sinx = (sin2x)/2`
`=>4+2sinx = sin2x->(1)`
Now, we know, `-1 le sinx le 1`.
`=>-2 le 2sinx le 2`
...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Solve : x^2+x/sqrt2+1=0

solve sin(2x)+sin(x)=0?

Solve x^2+x+1/(sqrt2)=0

solve , 2x^2+5x- 12 =0

Solve: i x^2-3x-2i=0,

Solve (x^2-2x-3)/(x+1)=0.

Solve for x : x^2 + x/2 - 1 = 0

Solve: 2(sinx -cos2x)-sin2x(1+2sinx) + 2cosx =0

Solve : |x^2+4x+3|+2x+5=0

Solve x^2-x-2 gt 0.

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve tanx >cotx , where x in [0,2pi]dot

    Text Solution

    |

  2. If ("tan"(theta+alpha))/a=""("tan"(theta+beta))/b=""("tan"(theta+gamma...

    Text Solution

    |

  3. Solve 1+sinxsin^2x/2=0

    Text Solution

    |

  4. The area of the circle and the area of a regular polygon inscribed th...

    Text Solution

    |

  5. If in a triangle ABC,tanA+tanB+tanC=6 and tanAtanB=2, then the triangl...

    Text Solution

    |

  6. If the inequality sin^2x+acosx+a^2>1+cosx holds for any x in R , then...

    Text Solution

    |

  7. If x , ya n dz are the distances of incenter from the vertices of the ...

    Text Solution

    |

  8. The general values of theta satisfying the equation 2sin^2theta-3sinth...

    Text Solution

    |

  9. A right angle is divided into three positive parts alpha,betaa n dgamm...

    Text Solution

    |

  10. The number of solutions of the equation tanx+secx=2cosx lying in the i...

    Text Solution

    |

  11. Incircle of A B C touches the sides BC, CA and AB at D, E and F, resp...

    Text Solution

    |

  12. If cos^2x-(c-1)cosx+2cgeq6 for every x in R , then the true set of va...

    Text Solution

    |

  13. If f(x)=sin −1 ( 2 3 ​ ​ x− 2 1 ​ 1−x 2 ​ ),− 2 1 ​ ≤...

    Text Solution

    |

  14. Find the number of roots of equation sinx+sin5x=sin2x+ sin4x

    Text Solution

    |

  15. Let A B C be a triangle with /B=90^0 . Let AD be the bisector of /A wi...

    Text Solution

    |

  16. If π<α<(3π)/2 then sqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/...

    Text Solution

    |

  17. In which of the following sets the inequality sin^6x+cos^6x >5/8 hold...

    Text Solution

    |

  18. Find the number of solutions of sinx=x/(10)

    Text Solution

    |

  19. If the distances of the vertices of a triangle =ABC from the points of...

    Text Solution

    |

  20. If 3π/4<α<π, then sqrt(2cotalpha+1/(sin^2alpha)) is equal to

    Text Solution

    |