Home
Class 12
MATHS
If ( cos 3A+ sin 3A)/( cos A - sin A )=1...

If `( cos 3A+ sin 3A)/( cos A - sin A )=1-k sin 2A ` , the value of k is

A

`-2`

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
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

Prove that (cos3A + sin3A)/(cosA - sin A) = 1+ 2sin 2A .

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

( sin 3A + sin A) sin A + ( cos 3A- cos A ) cos A =

int (3 cos 3x-2 sin 2x)/(cos 2x+ sin 3x)dx=

If cos A = 3/4 then (2cos A + 3 sin A)/(4 cos A - sin A) =

If (2 sin theta )/(1+ cos theta + sin theta )=x, find the value of (1- cos theta + sin theta )/(1+ sin theta )

Show that sin A= (sin 3A) /(1+2 cos 2A) . Hence find the value of sin 15^(@).

If sin^(3) x cos 3x + cos^(3) x sin 3x = 3//8 , then the value of 8 sin 4x is ____________.

If 4 sin(60^(@) + theta ) sin (60^(@) - theta )-1=k cos 2 theta , the value of k is

( cos A + cos 3A + cos 5A + cos 7A )/( sin A + sin 3A + sin 5A + sin 7A ) =

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
  1. sin 2 alpha - cos 2 alpha tan alpha =

    Text Solution

    |

  2. ( sin 3A + sin A) sin A + ( cos 3A- cos A ) cos A =

    Text Solution

    |

  3. If ( cos 3A+ sin 3A)/( cos A - sin A )=1-k sin 2A , the value of k is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. 2 sin^(2) beta + 4 cos( alpha+ beta) sin alpha sin beta + cos ( 2 alph...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |