Home
Class 11
MATHS
If sin^(3) theta cos theta - cos ^(3) th...

If `sin^(3) theta cos theta - cos ^(3) theta sin theta = 1 //4 " then " theta` =

A

`theta=(n pi)/2+(pi)/8n in Z`

B

`theta=(npi)/2-(pi)/8 n in Z`

C

`theta=(n pi)/2+(pi)/4 n in Z`

D

`theta=(n pi)/2-(pi)/4n in Z`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -II LECTURE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|3 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -II LECTURE SHEET (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -IV (MISCELLAENEOUS STRAIGHT OBJECTIVES TYPE QUESTIONS)|13 Videos
  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos

Similar Questions

Explore conceptually related problems

If sin^(3) theta + sin theta cos theta + cos^(3) theta = 1, " then " theta = (n in z)

4 sin 5 theta cos 3 theta sin 2 theta

sin 3 theta * cos^(3) theta + cos 3 theta * sin^(3) theta =

If sqrt(3) cos theta - sin theta = 1 then theta =

If 1+sin^(2)theta = 3 sin theta cos theta , then theta =

(3 cos theta + cos 3 theta )/( 3 sin theta - sin 3 theta ) =

If sin 6theta =32 cos ^(5) theta sin theta-32 cos ^(3) theta sin theta + 3x then x is equal to

( cos 3 theta - sin 3 theta )/( cos theta+ sin theta ) =

(sin^(3)theta+sin3theta)/(cos^(3)theta-cos3theta)

AAKASH SERIES-TRIGNOMETRIC EQUATIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL -I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. If 12sinx+5cosx=2y^(2)-8y+21, to get values of x and y is

    Text Solution

    |

  2. If 4 cos theta - 3 sec theta = tan theta, " then " theta =

    Text Solution

    |

  3. If sin^(3) theta cos theta - cos ^(3) theta sin theta = 1 //4 " then "...

    Text Solution

    |

  4. The number of solutions of the equation tan x +sec x = 2 cos x lying ...

    Text Solution

    |

  5. The solution of (sqrt(5) - 1)/(sin x) + (sqrt(10 + 2 sqrt(5)))/(cos x)...

    Text Solution

    |

  6. Number of solutions of the equation 4 ( cos ^(2) 2 x + cos 2 x + 1) + ...

    Text Solution

    |

  7. The number of distinct real roots of the equation tan ( 2 pi x)/( x^(...

    Text Solution

    |

  8. The smallest positive value of x (in radians) satifying the equation l...

    Text Solution

    |

  9. The number of solutions of sin x + sin 2 x + sin 3 x = cos x + cos 2 x...

    Text Solution

    |

  10. The number of solutions of the equation sin ((pi x)/( 2 sqrt(3))) = x^...

    Text Solution

    |

  11. The number of solution of the equation tan^(2)x-sec^(10)x+1=0 in (0,10...

    Text Solution

    |

  12. If sqrt( 5 - 2 sin x) = 6 sin x - 1 then x =

    Text Solution

    |

  13. If sin(sin x + cos x) = cos (cos x - sin x) then the largest possible ...

    Text Solution

    |

  14. The number of solutions of sin^(4)x-cos^(2)xsinx+2sin^(2)x+sinx=0 in 0...

    Text Solution

    |

  15. Number of solution (s) satisfying the equation (1)/(si x) - (1)/( sin ...

    Text Solution

    |

  16. The range of alpha for which the equation sin^(4)x+cos^(4)x+sin2x+alph...

    Text Solution

    |

  17. The total number of ordered pairs (x,y) satisfying |x|+|y|=4, sin((pi)...

    Text Solution

    |

  18. e^(|sin x|)+ e^(-|sin x|) + 4 a = 0 will have exactly four different ...

    Text Solution

    |

  19. If m and n ( gt m) are positive integer, the number of solutions of ...

    Text Solution

    |

  20. The number of solutions of the equation 2x=3pi(1-cosx) is

    Text Solution

    |