Home
Class 12
MATHS
The number of solution (s) of the equati...

The number of solution (s) of the equation
` sqrt2+cos 2 x=(sin x+cos x) in [-pi/2, pi]`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise JEE Previous Year|26 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Archives (Matrix Match Type)|1 Videos

Similar Questions

Explore conceptually related problems

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

The number of solutions of the equation 2^(cos x)=|sin x| in [-2 pi,2 pi] is

Find the number of solutions of the equation sin5x cos3x=sin6x cos2x,x in[0,pi]

The number of solutions of the equation |2 sin x-sqrt(3)|^(2 cos^(2) x-3 cos x+1)=1 in [0, pi] is

The number of solutions of the equation 1 +sin^(4) x = cos ^(2) 3x, x in [-(5pi)/(2),(5pi)/(2)] is

Number of solutions of the equation sin x + cos x-2sqrt(2) sin x cos x=0 for x in [0, pi] is

The number of solutions that the equation sin (cos (sin x))= cos (sin (cos x)) has in [0, (pi)/(2)], is "_____"

The number of solutions of equations sin2x+cos2x+sin x+cos x+1=0 in [0,2 pi] is

The number of real solutions of the equation sqrt(1+cos2x) = sqrt(2)cos^(-1)(cosx) in [pi/2,pi] is

The -number of solutions of the equation cos(pi sqrt(x-4)cos(pi sqrt(x))=1 is

CENGAGE-TRIGNOMETRIC RATIOS IDENTITIES AND TRIGNOMETRIC EQUATIONS-Question Bank
  1. Number of ordered pairs (x, y) satisfying the equation 4 y^2+2 cos ...

    Text Solution

    |

  2. If alpha, beta in(0, pi/2) satisfy the following simultaneous equ...

    Text Solution

    |

  3. Number of solutions of the equation tan 2 theta=tan 6 theta in (0,3 pi...

    Text Solution

    |

  4. The least value of ' a ' for which the equation 2 sqrta sin ^2 x+sqrta...

    Text Solution

    |

  5. The number of solution (s) of the equation sqrt2+cos 2 x=(sin x+cos...

    Text Solution

    |

  6. If (cos 3 x)/(cos x)=1/3 for some angle x, 0 le x le pi/2, then ...

    Text Solution

    |

  7. If (cos ^4 alpha)/(cos ^2 beta)+(sin ^4 alpha)/(sin ^2 beta)=1, the...

    Text Solution

    |

  8. The numbers of solution (s) of the equation (1-1/2 sin x) cos ^2 2 x=2...

    Text Solution

    |

  9. If 2 sin x=1-2 cos x, then value of |tan x+(1)/(tan x)| is

    Text Solution

    |

  10. The number of pairs of integer (x, y) that satisfy the following two '...

    Text Solution

    |

  11. If (cos theta)^6+(sin theta)^6 = a0+a1 cos 4 theta and a0 a1=m/n ...

    Text Solution

    |

  12. If (sin alpha)/(sin beta)=(cos gamma)/(cos delta), then (sin ((alp...

    Text Solution

    |

  13. If 0 lt lt theta lt pi/4, 2 y cos theta=x sin theta and 2 x sec t...

    Text Solution

    |

  14. Maximum value of the expression 25 sin ^4 x-20 sin ^2 x-2 is equal to

    Text Solution

    |

  15. For x in[0,3 pi], the number of integral values of x satisfying ...

    Text Solution

    |

  16. If (overset(8)underset(r=1)sum sin ((2 r-1) pi/36))/(underset(k=0)ove...

    Text Solution

    |

  17. The number of solution (s) of cos sqrt3 x+cos sqrt5 x=2 is

    Text Solution

    |

  18. Number of ordered pairs (x, y) which satisfies the relation x^4+1/8 ...

    Text Solution

    |

  19. If 28 sin ^4 alpha+21 cos ^4 alpha=12 then value of 24(tan ^2 alph...

    Text Solution

    |

  20. The value of the expression (cosec 50^(circ)+sqrt3 sec 50^(circ)) is...

    Text Solution

    |