Home
Class 12
MATHS
If 32 tan^8 theta =2 cos^2 alpha-3 cos a...

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

A

`2npipm(pi)/(3)`

B

`2npipmcos^(-1)(2)`

C

`2npipm(2pi)/(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Critical Thinking|88 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

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

If 32tan^(3)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 tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha) , then

If tan theta=(sin alpha-cos alpha)/(sin alpha+cos alpha) ,then theta is

tan theta = (sin alpha-cos alpha) / (sin alpha + cos alpha)

If cos 3 theta = alpha cos theta + beta cos ^(3) theta, then (alpha, beta) =

If sin theta+cos theta=sqrt(2)cos alpha, then the general value the theta is

If cos theta=(a cos alpha+b)/(a+b cos alpha), then the value of tan((theta)/(2)) is :

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. The solution of the equation cos^(2)x-2cosx=4sinx-sin2x,0lexlepi, is

    Text Solution

    |

  2. cos2theta = (sqrt(2)+1)(costheta -1/sqrt(2))

    Text Solution

    |

  3. If 32 tan^8 theta =2 cos^2 alpha-3 cos alpha and 3cos2 theta =1, then ...

    Text Solution

    |

  4. In (0, 2pi), the number of solutions of cos2theta=sintheta are

    Text Solution

    |

  5. The number of values of theta in the interval (-(pi)/(2), (pi)/(2)) su...

    Text Solution

    |

  6. The number of solutions of the equation cos^2(x+pi/6)+cos^2x-2cos(x+pi...

    Text Solution

    |

  7. If the sum of all the solutions of the equation 8 cosx.(cos(pi/6+x)cos...

    Text Solution

    |

  8. If sec^2 theta =4/3, then the general value of theta is

    Text Solution

    |

  9. "cot" theta = "sin" 2 theta, theta ne n pi, n in Z, "if" theta equals

    Text Solution

    |

  10. Find the smallest positive value of x and y satisfying x-y=pi/4 and co...

    Text Solution

    |

  11. If 0 <= x < 2pi, then the number of real values of x, which satisfy th...

    Text Solution

    |

  12. If the angles of a triangle are in the ratio 1:2:3,the corresponding s...

    Text Solution

    |

  13. In a A B C ,A : B : C=3:5: 4. Then a+b+csqrt(2) is equal to 2b b. 2c ...

    Text Solution

    |

  14. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

    Text Solution

    |

  15. ln a DeltaABC, if (cosA)/a=(cosB)/b=(cosC)/c and the side a = 2, then ...

    Text Solution

    |

  16. In DeltaABC, if sin^(2)A+sin^(2)B=sin^(2)C and l(AB)=10, then the maxi...

    Text Solution

    |

  17. In a triangle ABC, if sin A sin B= (ab)/(c^(2)), then the triangle is ...

    Text Solution

    |

  18. The perimeter of a triangle ABC is 6 times the arithmatic mean of the ...

    Text Solution

    |

  19. If angles A,B, and C are in A.P., then (a+c)/b is equal to

    Text Solution

    |

  20. If one side of a triangle is double the other, and the angles opposite...

    Text Solution

    |