Home
Class 12
MATHS
If 32tan^3theta=2cos^2alpha-3 cosalpha a...

If `32tan^3theta=2cos^2alpha-3 cosalpha` and `3cos2theta =1` then the general value of `alpha` is

Text Solution

Verified by Experts

The correct Answer is:
` alpha = 2n pi pm (2pi)/3 , n in Z `
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|2 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

If 32tan^(3)theta=2cos^(2)alpha-3cos alpha and 3cos2 theta=1 then the general value of alpha is

32tan^(8)theta=2cos^(2)alpha-3cos alpha and 3cos2 theta=1 then the general value of alpha is

If 32"tan"^(8)theta" = 2"cos"^(2) alpha- 3"cos" alpha " and "3"cos" 2 theta = 1, "then" alpha =

If (1-cos2 theta)/(1+cos2 theta)=3, then the general value of theta is

If sqrt(3)tan2 theta+sqrt(3)tan3 theta+tan2 theta tan3 theta=1 then the general value of theta is

If sin(theta+alpha)=cos(theta+alpha) then the value of tan theta is

If A = 2(sin^6 theta+ cos^6 theta)- 3 (sin^4 theta+ cos^4 theta) then the value of 3 alpha such that cos alpha= sqrt((3+A)/(5+A)) is यदि A = 2(sin^6 theta+ cos^6 theta)- 3 (sin^4 theta+ cos^4 theta) है, तो 3 alpha का मान इस प्रकार ज्ञात कीजिए कि cos alpha= sqrt((3+A)/(5+A)) हो।

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Subjective Type Questions)
  1. Find the number of solution of the equations |cos x |=[x], (where ...

    Text Solution

    |

  2. Find the number of solution of the equations x+ 2 tan x =(pi)/(2),...

    Text Solution

    |

  3. The equation sin^4 x + cos^4 x + sin2x + alpha = 0 is solvable for

    Text Solution

    |

  4. If 32tan^3theta=2cos^2alpha-3 cosalpha and 3cos2theta =1 then the gene...

    Text Solution

    |

  5. Solve the following system of simultaneous equation for xa n dydot 4^...

    Text Solution

    |

  6. Find all number x , y that satisfy the equation (sin^2 x +(1)/( sin^(...

    Text Solution

    |

  7. Find all the solution of x,y in the equation 4(3sqrt(4x-x^(2))sin^(2...

    Text Solution

    |

  8. Solve for x and y , 1-2x-x^(2)=tan^(2)(x+y)+cot^(2)(x+y).

    Text Solution

    |

  9. Solve the system of equations tan^2 x + cot^(2) x = 2cos^(2)y co...

    Text Solution

    |

  10. Find all the pairs of x,y that satisfy the equation cosx+cosy+cos(x+y)...

    Text Solution

    |

  11. Solve the equation cot((theta )/(2))-"cosec"((theta)/2)=cot theta

    Text Solution

    |

  12. Find the general solution of 1+sin^3x + cos^(3)x=(3)/(2)sin 2x

    Text Solution

    |

  13. Solve log((sin x))2log((sin^(2)x))a=-1 stating any condition on a' tha...

    Text Solution

    |

  14. Cosider the equation int(0)^(x) (t^(2)-8t+13)dt= x sin (a//x) If x t...

    Text Solution

    |

  15. If tanx=b/a, find the value of (acos2x+bsin2x).

    Text Solution

    |

  16. Find all number of pairs x,y that satisfy the equation tan^4) x + tan^...

    Text Solution

    |

  17. Determine all value of 'a' for which the equation cos^(4) x-(a+2) cos...

    Text Solution

    |

  18. For x in (-pi, pi) find the value of x for which the given equation (s...

    Text Solution

    |

  19. Show that the equation , sec theta + "cosec" theta = c has two roots...

    Text Solution

    |

  20. Solve the equation for x and y , |sin x + cos x|^( sin^(2) x-1//4)=1+|...

    Text Solution

    |