Home
Class 11
MATHS
Find the smallest positive root of the e...

Find the smallest positive root of the equation `sqrt(sin(1-x))=sqrt(cos"x")`

Text Solution

AI Generated Solution

To find the smallest positive root of the equation \( \sqrt{\sin(1-x)} = \sqrt{\cos x} \), we can follow these steps: ### Step 1: Square both sides Starting with the given equation: \[ \sqrt{\sin(1-x)} = \sqrt{\cos x} \] Squaring both sides, we get: ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If alpha be the smallest positive root of the equation sqrt(sin(1-x))=sqrt(cos x) , then the approximate integeral value of alpha must be .

Find the smallest positive number p for which the equation cos (p sin x) = sin (p cos x) has a solution x in [0,2pi] .

Find the smallest positive number p for which the equation cos (p sin x) = sin (p cos x) has a solution x in [0,2pi] .

Determine the smallest positive value of x which satisfy the equation sqrt(1+sin2x)-sqrt(2)cos3x=0

Determine the smallest positive value of x which satisfy the equation sqrt(1+sin2x)-sqrt(2)cos3x=0

The number of distinct real roots of the equation sqrt(sin x)-(1)/(sqrt(sin x))=cos x("where" 0le x le 2pi) is

Find the product of the positive roots of the equation sqrt((2008))(x)^((log)_(2008)x)=x^2dot

Find the number of roots of the equation e^(x) = sqrt (-x) .

Find the product of the positive roots of the equation sqrt2009(x)^(log_(2009)(x))=x^2 .

Find the number of solution of the equation sqrt(cos 2x+2)=(sin x + cos x) in [0, pi] .

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. solve sin(2x)+sin(x)=0?

    Text Solution

    |

  2. In any triangle ABC, prove that sin^3Acos(B-C)+sin^3Bcos(C-A)+sin^3Cco...

    Text Solution

    |

  3. Find the smallest positive root of the equation sqrt(sin(1-x))=sqrt(co...

    Text Solution

    |

  4. cot16^0cot44^0+cot44^0cot76^0-cot76^0cot16^0= (a)1(b) 2 (c)3 (d) ...

    Text Solution

    |

  5. Solve the equation tan^4x+tan^4y+2cot^2xcot^2y=3+sin^2(x+y) for the va...

    Text Solution

    |

  6. The value of (2sinx)/(sin3x)+(tanx)/(tan3x) is.

    Text Solution

    |

  7. Prove that the equation 2 sin x=|x|+a has no solution for a in ((3sqrt...

    Text Solution

    |

  8. Prove that tanpi/(16)=sqrt(4+2sqrt(2))-(sqrt(2)+1)

    Text Solution

    |

  9. Solve the equation 2sinx+cosy=2 for the value of xa n dydot

    Text Solution

    |

  10. Find the value of cos(2pi)/7+cos(4pi)/7+cos(6pi)/7

    Text Solution

    |

  11. Prove that sintheta+sin3theta+sin5theta+.....+sin(2n-1)theta=(sin^2nth...

    Text Solution

    |

  12. Prove that (cos3x)/(sin2xsin4x)+(cos5x)/(sin4xsin6x)+(cos7x)/(sin6xsi...

    Text Solution

    |

  13. Prove that 2sin2^0+4sin4^0+6"sin"6^0+.......+180sin180^0=90cot1^0dot

    Text Solution

    |

  14. If A+B+C=180^@, then prove thatcos^2 A + cos^2 B +cos^2 C=1-2cosA cosB...

    Text Solution

    |

  15. Prove that in triangle A B C ,cos^2A+cos^2B-cos^2C=1-2sinAsinBcosCdot

    Text Solution

    |

  16. In triangle ABC, prove that sin(B+C-A)+sin(C+A-B)+sin(A+B-C)=4sin Asi...

    Text Solution

    |

  17. Prove that sum(k=1)^(n-1)(n-k)cos(2kpi)/n=-n/2, wherengeq3 is an int...

    Text Solution

    |

  18. If (tan(ln6)dottan(ln2)dot"tan"(ln3))/(tan(ln6)-tan(ln2)-"tan"(ln3))=k...

    Text Solution

    |

  19. In any triangle A B C ,sin^2A-sin^2B+sin^2C is always equal to (A) 2s...

    Text Solution

    |

  20. If cot^2Acot^2B=3, then the value of (2-cos2A)(2-cos2B) is

    Text Solution

    |