Home
Class 11
MATHS
If a = Cos theta - Sin theta, b = Cos^(3...

If `a = Cos theta - Sin theta, b = Cos^(3) theta - Sin^(3) theta`, then

A

`a^(3)-3a+2b=0`

B

`a^(3)+3a-2b=0`

C

`a^(3)-3a-2b=0`

D

`b^(3)-3a+2b=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise EXERCISE- II|52 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

Similar Questions

Explore conceptually related problems

If a = sin theta + cos theta , b =sin^(3) theta + cos^(3) theta , then

Show that (Sin theta + Cos theta)^2 - (Sin theta - Cos theta)^2 = 4 Sin theta Cos theta

2 cos theta - cos 3 theta - cos 5 theta - 16 cos^(3) theta sin^(2) theta =

If Sin^(2) theta + 3 Cos theta -2 =0 then Cos^(3) theta + Sec^(3) theta =

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

If sin theta + cos theta = and sin^(3) theta + cos^(3)theta = q, then p(p^(2) - 3) =

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

If m= a Cos^(3) theta + 3a Cos theta Sin^(2) theta and n=a Sin^(3) theta + 3 a Cos^(2) theta Sin theta then (m+n)^(2//3) + (m-n)^(2//3) =

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

If 3 cos^(2) theta - 2sqrt(3) sin theta cos theta -3 sin^(2) theta = 0 , then theta =

AAKASH SERIES-TRIGONOMERTIC RATIOS-PRACTICE EXERCISE
  1. If Sin^(2) theta + 3 Cos theta -2 =0 then Cos^(3) theta + Sec^(3) thet...

    Text Solution

    |

  2. If cos^(2) x + cos^(4) x =1 then tan^(2) x + tan^(4) x=

    Text Solution

    |

  3. If sin theta + sin^(2) theta =1 then cos^(4) theta + cos^(8) theta + 2...

    Text Solution

    |

  4. If sqrt((1+cos alpha)/(1-cos alpha))=cosec alpha + cot alpha, then the...

    Text Solution

    |

  5. If cos theta - sin theta = sqrt(2) sin theta " then " cos theta + si...

    Text Solution

    |

  6. If Cos theta - Sin theta = sqrt(2) Cos theta then Cos theta + Sin thet...

    Text Solution

    |

  7. If a = Cos theta - Sin theta, b = Cos^(3) theta - Sin^(3) theta, then

    Text Solution

    |

  8. If sec^(6) theta - tan^(6) theta = a sec^(4) theta + b sec^(2) theta +...

    Text Solution

    |

  9. If x=r cos alpha cos beta cos gamma , y= cos alpha cos beta sin gamma...

    Text Solution

    |

  10. If x= cot theta + cos theta , y= cot theta - cos theta , " then " (x^...

    Text Solution

    |

  11. If tan theta + sin theta = m, tan theta - sin theta = n " then " (m^(...

    Text Solution

    |

  12. If x= a cos^(2) theta sin theta and y= a sin^(2) theta cos theta , "...

    Text Solution

    |

  13. One possible representation of points (x, y) on x^(2)y^(2) =x^(2) +y^(...

    Text Solution

    |

  14. Assertion (A) : cos20^(@) - sin20^(@) gt 0 Reason (R) : If theta in ...

    Text Solution

    |

  15. If alpha = pi/19 then (sin 3 alpha - sin 23 alpha)/(sin 4 alpha + sin ...

    Text Solution

    |

  16. The equation cosec theta = (x^(2)+y^(2))/(2 xy) is (x != 0, y != 0)

    Text Solution

    |

  17. In Delta ABC,right angled at C, then tanA + tanB =

    Text Solution

    |

  18. If Sin theta = ((a-4)/(2)) then

    Text Solution

    |

  19. If sin (alpha+beta ) =1 , sin (alpha-beta ) =1//2 " then " tan (alpha...

    Text Solution

    |

  20. The expression (tan A)/(1- cot A) + ( cot A )/( 1- tan A) can be writt...

    Text Solution

    |