Home
Class 11
MATHS
The value of k, for which (cos x+ sin ...

The value of k, for which
`(cos x+ sin x)^(2) +k sin x cos x-1 =0` is an identity, is

A

`-1`

B

`-2`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|39 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

Similar Questions

Explore conceptually related problems

The values of x for which min(sin x, cos x) > min(-sin x,-cos x) where x in(0,2 pi) equals:

The value of k for which f(x)= {((1-cos 2x )/(x^2 )", " x ne 0 ),(k ", "x=0):} continuous at x=0, is :

The minimum value of sin x((1-cos x)/(sin x)+(sin x)/(1-cos x)) is

The value of (sin x cos y + cos x sin y)^2+(cos x cos y -sin x sin y)^2 is equal to

" The values of "x" for which "min(sin x,cos x)>min(-sin x,-cos x)" where "x in(0,2 pi)" equals: "

Maximum value of cos x((cos x)/(1-sin x)+(1-sin x)/(cos x))

The values of k,for which the system of equations cos x cos2y=(k^(2)-4)^(2)+1 and sin x sin2y=k+2 holds,is (are) given by

The set of value(s) of k for which f(x)=sin x-cos x-kx is decreasing for all values of x ,is

The set of values of x for which sin x*cos^(3)x>cos x*sin^(3)x,0<=x<=2 pi, is NOT satisfied is :

If the function (cos x+K sin x)/(2cos x+3sin x) is decreasing in its domain then K is

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -COMPETITIVE THINKING
  1. If cosec theta - cot theta = 1/2, 0 lt theta lt pi/2, then cos theta...

    Text Solution

    |

  2. If cosec A + cot A =11/2 , then tan A equal to

    Text Solution

    |

  3. If sec theta + tan theta =p, then tan theta is equal to

    Text Solution

    |

  4. If t a ntheta+s e ctheta, then costheta equals (e^x+e^(-x))/2 (b) 2/(...

    Text Solution

    |

  5. If sin theta + cos theta =1 then sin theta cos theta =

    Text Solution

    |

  6. If 3 sin A+5 cos A =5, then the value of (3 cos A-5 sin A )^(2) is

    Text Solution

    |

  7. If sectheta=m, tantheta = n, then 1/m{(m+n)+1/(m+n)}

    Text Solution

    |

  8. If sintheta +cos theta =m and sec theta + cosec theta =n then n(m+1)(m...

    Text Solution

    |

  9. If 2y cos theta =x sin theta and 2x sec theta -y cosec theta =3, then ...

    Text Solution

    |

  10. If tan theta + sin theta = 1, " then" cos^(2) theta = n " then" m^(2)...

    Text Solution

    |

  11. If (secalpha+tanalpha)(secbeta+tanbeta)(secgamma+tangamma)=tanalphatan...

    Text Solution

    |

  12. If Pn = cos^n theta+ sin^n theta then 2P6-3P4 + 1 =

    Text Solution

    |

  13. Prove: (secA+tanA-1)(secA-tanA+1)=2tanA

    Text Solution

    |

  14. 17.cos^4theta- sin^4theta is equal to (a) 1 -2 sin^2(theta/2) (b)2c...

    Text Solution

    |

  15. Prove each of the following identities : (i) sin^(6) theta + cos^(6...

    Text Solution

    |

  16. Find the value of 6(sin^6theta+cos^6theta)-9(sin^4theta+cos^4theta)+...

    Text Solution

    |

  17. If sinx+sin^2x=1, then find the value of cos^(12)x +3cos^(10)x + 3 cos...

    Text Solution

    |

  18. The value of k, for which (cos x+ sin x)^(2) +k sin x cos x-1 =0 is...

    Text Solution

    |

  19. If s e c^2theta=(4x y)/((x+y)^2) is true if and only if x+y!=0 (b) x=...

    Text Solution

    |

  20. Let theta in (0,pi/4) and t1=(tan theta)^(tan theta), t2=(tan theta)^(...

    Text Solution

    |