Home
Class 11
MATHS
If cos^2 2x+2cos^2x=1,\ x in (-pi,pi), t...

If `cos^2 2x+2cos^2x=1,\ x in (-pi,pi),` then `x` can take the values : `+-pi/2` (b) `+-pi/4` `+-(3pi)/4` (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

2sin^2x+sin^2(2x)=2 , -piltxltpi then x equals (A) +- pi/2 (B) +- pi/4 (C) +-(3pi)/4 (D) none of these

Solve cos 2x=|sin x|, x in (-pi/2, pi) .

Solve cos 2x=|sin x|, x in (-pi/2, pi) .

If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at least one solution, then the value of (a+b) can be (a) (7pi)/2 (b) (5pi)/2 (c) (9pi)/2 (d) none of these

If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at least one solution, then the value of (a+b) can be (7pi)/2 (b) (5pi)/2 (c) (9pi)/2 (d) none of these

The range of sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2] , where [.] denotes the greatest integer function, is (a) {pi/2,pi} (b) {pi} (c) {pi/2} (d) none of these

If dy/dx+3/cos^2xy=1/cos^2x,x in((-pi)/3,pi/3)and y(pi/4)=4/3," then "y(-pi/4) equals

For f(x)=sin^2x ,x in (0,pi) point of inflection is: pi/6 (b) (2pi)/4 (c) (3pi)/4 (d) (4pi)/3

If cos^2x+cos^2 2x+cos^2 3x=1 then (a) x=(2n+1)pi/4,\ n in I (b) x=(2n+1)pi/2,\ n in I (c) x=npi+-\ pi/6,\ n in I (d) none of these

int_0^oo(x dx)/((1+x)(1+x^2)) is equal to (A) pi/4 (B) pi/2 (C) pi (D) none of these"

ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. The solution(s) of the equation cos2x sin6x=cos3x sin5x in the int...

    Text Solution

    |

  2. The equation 4sin^2x-2\ (sqrt(3)+1)sinx+sqrt(3)=0 (a) 2 solution in ...

    Text Solution

    |

  3. If cos^2 2x+2cos^2x=1,\ x in (-pi,pi), then x can take the values : +-...

    Text Solution

    |

  4. The solution(s) of the equation sin7x+cos2x=-2 is/are (a)x=(2kpi)/7+...

    Text Solution

    |

  5. Set of values of x in (-pi,\ pi) for which |4 sinx-1|<sqrt(5) is given...

    Text Solution

    |

  6. Find the principal solutions of the equation sin x = -(√3)/2 .

    Text Solution

    |

  7. 2^1|cosx|+|cosx|^(2 dotx)=4\ \ in\ (-pi,pi)

    Text Solution

    |

  8. The solution of tantheta+tan2theta+tan3theta=tanthetatan2thetatan3thet...

    Text Solution

    |

  9. Find the domain of the following real valued functions of real variab...

    Text Solution

    |

  10. Statement - I : The equation sqrt(3)cosx-sinx=2 has exactly one ...

    Text Solution

    |

  11. Statement - I : General solution of (tan4x-tan2x)/(1+tan4xtan2x)=1\...

    Text Solution

    |

  12. Evaluate the value of sin ((11π)/12).

    Text Solution

    |

  13. Let S1 be the set of all those solutions of the equation (1+a)costhe...

    Text Solution

    |

  14. If cotθ+cosecθ=5 , find cosθ.

    Text Solution

    |

  15. The number of solutions of the pair of equations 2sin^2theta−cos2th...

    Text Solution

    |

  16. Consider the system of equations sin x cos 2y=(a^(2)-1)^(2)+1, cos x...

    Text Solution

    |

  17. Consider the system of equations sinx.cos2y=(a^2−1)^2+1, cosx.sin2y=a ...

    Text Solution

    |

  18. The number of ordered triplets of positive integers which are solution...

    Text Solution

    |

  19. If sinA=sin B and cosA=cosB , then find the value of A in terms of Bdo...

    Text Solution

    |

  20. Solve the equation 1+ 2 "cosec" x =(-sec^(2)""(x)/(2))/(2)

    Text Solution

    |