Home
Class 12
MATHS
Samllest positive angle satisfying the e...

Samllest positive angle satisfying the equation `cos^(2)x+cos^(2) 2x+cos^(2)3x=1`, is

Text Solution

Verified by Experts

The correct Answer is:
`x=(2n+1)pi/4,n inI` or `x(2n+1)pi/2,n inI` or `x=npi+-pi/6,n inI`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos
  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 2|16 Videos
  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -4(Level -II)|9 Videos
  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL-II)|41 Videos

Similar Questions

Explore conceptually related problems

Solution of the equation cos^(2)x+cos^(2)2x+cos^(2)3x=1 is

Smallest positive x satisfying the equation cos^(3) 3x + cos^(3) 5x = 8 cos^(3) 4x * cos^(3) x is :

If x is smallest positive angle in degrees satisfying the equation 8sin x cos^(5)x8sin^(5)x cos x=1, then find the value of 2x .

Smallest positive angle satisfying the equation 4log_(16)(cos2x)+2log_(4)(sin x)+log_(2)(cos x)+3=0 is

Solve the equation sin^(2)x + cos^(2)3x=1

Smallest positive x satisfying the equation sin3x+3cos x=2sin2x(sin x+cos x), is-

A and B are positive acute angles satisfying the equation 3cos^(2)A+2cos^(2)B=4(3sin A)/(sin B)=(2cos B)/(cos A) then A+2B is

The value of x satisfying the equation cos^(-1)3x+sin^(-1)2x=pi is

The smallest positive x satisfying the equation log_(cos x)sin x+log_(sin x)cos x=2 is (pi)/(2)(b)(pi)/(3)(c)(pi)/(4)(d)(pi)/(6)

MOTION-TRIGONOMETRIC EQUATION-EXERCISE 3
  1. Solve : cottheta= tan8theta

    Text Solution

    |

  2. The angles between 0^0 and 90^0 which Satisfy the equation sec^2theta ...

    Text Solution

    |

  3. sin5theta+sin3theta+sin3theta=0

    Text Solution

    |

  4. Samllest positive angle satisfying the equation cos^(2)x+cos^(2) 2x+co...

    Text Solution

    |

  5. sin^2 n theta- sin^2 (n-1)theta= sin^2 theta where n is constant and n...

    Text Solution

    |

  6. Solve tantheta+tan2theta+sqrt(3)tanthetatan2theta=sqrt(3)

    Text Solution

    |

  7. Find all value of theta, between 0 & pi, which satisfy the equation;...

    Text Solution

    |

  8. Solve for x the equatiion sqrt(13-18tanx)=6 tan x-3 where -2pi lt x lt...

    Text Solution

    |

  9. Find all the solution of 4c a s^2xsinx-2sin^2x=3sinx

    Text Solution

    |

  10. Solve the equation for 0lethetale2pi,(sin2theta+sqrt3cos2theta)^2-5=co...

    Text Solution

    |

  11. Find the general solution of the equation,2 tanx.cot(x/2)+cotx.tan(x/2...

    Text Solution

    |

  12. Find the principal solution of the trigonometric equation sqrt(cot3x +...

    Text Solution

    |

  13. Solve the equation : 2sinx =3x^2 +2x+3

    Text Solution

    |

  14. Solve the inequality sin2x gtsqrt(2)sin^2x+(2-sqrt(2))cos^2x

    Text Solution

    |

  15. Find the general solution of the equation,tan^2(x+y)+cot^2(x+y)=1-2x-x...

    Text Solution

    |

  16. solve the equation for x , 5^(1/2)+5^(1/2 + log5 sinx) = 15^(1/2 + log...

    Text Solution

    |

  17. Determine the smallest positive value of x which satisfy the equation ...

    Text Solution

    |

  18. Given that A ,\ B are positive acute angles and sqrt(3)\ s in2A=s i...

    Text Solution

    |

  19. The set of values of alpha for which the equation "sin"^(4) x + "cos...

    Text Solution

    |

  20. Match the following for number of solution in [0,2pi]

    Text Solution

    |