Home
Class 12
MATHS
If cos^(6) theta + sin^(6) theta + k si...

If ` cos^(6) theta + sin^(6) theta + k sin^(2) 2theta=1` , then `k= `

A

`3//2`

B

`3//4`

C

`1//4`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 D ( TRANSFORMATIONS )|94 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 E ( TRIGONOMETRIC IDENTITIES )|49 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

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

  • TRIGONOMETRIC EQUATIONS

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

Similar Questions

Explore conceptually related problems

sin 6 theta ( 2 cos^(2) theta -1)

If cos theta + sin theta =a , " then " sin 2 theta =

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

If sin^(4) theta + cos^(4) theta = l + 3 +k sin^(2) theta cos^(2) theta then

If sin 6theta = sin 4theta - sin 2theta , then theta =

Solve 5cos^(2)theta+7sin^(2)theta=6

If | cos theta{ sin theta + sqrt( sin^(2) theta + sin^(2) alpha)}|le k , then the value of k is

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
  1. If ( cos 3A+ sin 3A)/( cos A - sin A )=1-k sin 2A , the value of k is

    Text Solution

    |

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

    Text Solution

    |

  3. If cos^(6) theta + sin^(6) theta + k sin^(2) 2theta=1 , then k=

    Text Solution

    |

  4. The value of cos^(2)A(3-4 cos^(2)A)^(2) + sin^(2)A(3-4 sin^(2)A)^(2)...

    Text Solution

    |

  5. ( cos 2 alpha)/( cos^(4) alpha - sin^(4) alpha ) -(cos^(4) alpha + si...

    Text Solution

    |

  6. 2 sin^(2) beta + 4 cos( alpha+ beta) sin alpha sin beta + cos ( 2 alph...

    Text Solution

    |

  7. (sin^(2)3A)/(sin^(2)A)-(cos^(2) 3A)/(cos^(2)A)=

    Text Solution

    |

  8. If A is in the III quadrant , 3 tan A-4=0 " then " 5 sin 2A + 3 sin A ...

    Text Solution

    |

  9. If ' theta ' is in the III quadrant then sqrt(4 sin^(4) theta + sin^(...

    Text Solution

    |

  10. If 2A+B=(pi)/2 " then " sqrt((1+ sin B)/(1-sinB))=

    Text Solution

    |

  11. If tan x=(b)/(a) " then " sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

    Text Solution

    |

  12. If tan(pi//4+ theta ) + tan(pi//4- theta )= k sec 2 theta , then th...

    Text Solution

    |

  13. If x+(1)/x=2 cos theta , " then " x^(3)+(1)/(x^(3))=

    Text Solution

    |

  14. If (sin alpha )/(a) = ( cos alpha )/(b) , then a sin 2alpha + b cos 2...

    Text Solution

    |

  15. If x=sqrt((1- cos theta )/(1+ cos theta )), " then " (2 x)/(1-x^(2))=

    Text Solution

    |

  16. If tan theta = 3//4 , then the value of tan 2 theta + sec 2 theta ...

    Text Solution

    |

  17. If cos x= tan y , coty= tan z , cot z= tan x then sin x=

    Text Solution

    |

  18. If cos x= tan y , coty= tan z , cot z= tan x then sin x=

    Text Solution

    |

  19. If cos x = tan y , cot y= tan z and cot z= tan x, then sin x=

    Text Solution

    |

  20. If "cosec" theta =[(tan^(2) [(alpha - pi)//4]-1)/(tan^(2)[(alpha-pi//4...

    Text Solution

    |