Home
Class 12
MATHS
3(sin x + cos x )^(4) + 6(sin x - cos x ...

`3(sin x + cos x )^(4) + 6(sin x - cos x )^(2) + 4(sin^(6) x + cos^(6) x )=`

A

10

B

11

C

12

D

13

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B ( COMPOUNDS ANGLES )|106 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -4|20 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

3(sinx-cosx)^(4)+6(sinx+cosx)^(2) + 4(sin^(6) x+cos^(6)x) is equal to

2(sin^(6) x + cos^(6) x ) -3(sin^(4) x + cos^(4) x ) +1=

If y= ( sin^(4) x - cos^(4) x + sin^(2) x cos^(2) x )/( sin^(4) x + cos^(4) x + sin^(2) x cos^(2) x) , x in ( 0, (pi)/(2) ) , then

int_(0)^(2pi) x sin^(4) x cos^(6) x dx=

The range of sin^(6) x + cos^(6) x

5 sin x + 4 cos x =3 rArr 4 sin x - 5 cos x=

sin x + sin^(2) x + sin^(3) x = 1 rArr cos^(6) x - 4cos^(4) x + cos^(2) x =

sin 3 x + 2 csin 4x + sin 6x = 4 cos ^(2) x sin 4x

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
  1. ("cosec " theta - sin theta ) ( sec theta - cos theta ) ( tan theta + ...

    Text Solution

    |

  2. 2(sin^(6) x + cos^(6) x ) -3(sin^(4) x + cos^(4) x ) +1=

    Text Solution

    |

  3. 3(sin x + cos x )^(4) + 6(sin x - cos x )^(2) + 4(sin^(6) x + cos^(6) ...

    Text Solution

    |

  4. sin A ( cot A +3( 3 cot A + 1) -1 " cosec " A -10 cos A =

    Text Solution

    |

  5. a sin^(2) theta + b cos^(2) theta =c implies tan^(2) theta =

    Text Solution

    |

  6. sec^(4) theta (1-sin^4 theta ) - tan^(2) theta =

    Text Solution

    |

  7. "cosec"^(2) theta * cot^(2) theta -sec^(2) theta * tan^(2) theta - (co...

    Text Solution

    |

  8. sec^(2)A tan^(2) B-tan^(2)A sec^(2) B=

    Text Solution

    |

  9. 2 sec^(2) theta - sec^(4) theta - 2 "cosec"^(2) theta + " cosec"^(4) t...

    Text Solution

    |

  10. sin^(2) alpha * tan alpha + cos^(2) alpha * cot alpha + 2 sin alpha co...

    Text Solution

    |

  11. If (sin alpha + "cosec" alpha )^(2) + ( cos alpha + sec alpha )^(2)=k+...

    Text Solution

    |

  12. sin^(2) A cos^(2)B + cos ^(2) A sin^(2) B + sin^(2) A sin^(2) B+ cos^(...

    Text Solution

    |

  13. If sin A , cos A and tan A are in G.P. then cot^(6) A- cot^(2) A =

    Text Solution

    |

  14. ( sec theta + tan theta -1)/( tan theta - sec theta +1)

    Text Solution

    |

  15. (cot theta + " cosec " theta -1)/(cot theta - " cosec " theta +1)=

    Text Solution

    |

  16. cot^(2) theta ((sec theta -1)/(1+ sin theta ))+ sec^(2) theta ((sin th...

    Text Solution

    |

  17. (2 sin theta * tan theta (1- tan theta ) + 2 sin theta sec^(2) theta )...

    Text Solution

    |

  18. ((1+ sin theta - cos theta )/( 1+ sin theta + cos theta ))^(2)=

    Text Solution

    |

  19. (1)/(sec alpha - tan alpha ) - (1)/( cos alpha)=

    Text Solution

    |

  20. (1)/(sec^(4) alpha ) +(1)/("cosec"^(4) alpha ) +(2)/(sec^(2) alpha + ...

    Text Solution

    |