Home
Class 11
MATHS
Which of the following set of values of ...

Which of the following set of values of `x` satisfies the equation `2^(2sin^2x-3sinx+1)+2^(2-2sin^2x+3sinx)=9?` (a)`x=npi+-pi/6,n in I` (b) `x=npi+-pi/3, n in I` (c)`x=npi,n in I` (d) `x=2npi+pi/2,n in I`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

The set of values of x satisfying the equation sin3alpha=4sinalphasin(x+alpha)sin(x-alpha) is (a) npi+-pi/4,AAn in Z (b) npi+-pi/3,AAn in Z (c) npi+-pi/9,AAn in Z (d) npi+-pi/(12),AAn in Z

Which of the following is not the solution of the equation sin5x=16sin^5x(n in Z)? (a) npi (b) npi+pi/6 (c) npi-pi/6 (d) none of these

For x belongs to (o,pi) the equation sinx+2sin2x-sin3x=3 has

Let tanx-tan^2x >0 and |2sinx| (a) x > npi,n in Z (b) x > npi-pi/6,n in Z (c) x (d) x < npi+pi/6, n in Z

The solutions of the equation 1+(sinx-cosx)sinpi/4=2cos^2(5x)/2 is/are x=(npi)/3+pi/8, n in Z x=(npi)/2+(5pi)/(16), n in Z x=(npi)/3+pi/4, n in Z x=(npi)/2+(7pi)/8, n in Z

Which of the following is not the general solution of 2^(cos2x)+1=3. 2^(-sin^2 x)? (a) npi,n in Z (b) (n+1/2)pi,n in Z (c) (n-1/2)pi,n in Z (d) none of these

The positive integer value of n >3 satisfying the equation 1/(sin(pi/n))=1/(sin((2pi)/n))+1/(sin((3pi)/n))i s

The values of x_1 between 0 and 2pi , satisfying the equation cos3x+cos2x=sin(3x)/2+sinx/2 are

The function (sin(x+a))/(sin(x+b)) has no maxima or minima if (a) b-a=npi,n in I (b) b-a=(2n+1)pi,n in I (c) b-a=2npi,n in I (d) none of these

The set of all x in the interval [0,pi] for which 2sin^2x-3sinx+1geq0 is______

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. For 0ltthetaltpi/2 the solution of underset (m=1)overset6sumcosec(thet...

    Text Solution

    |

  2. In A B C ,if a=10 and bcotB+ c cotC=2(r+R) then the maximum area of ...

    Text Solution

    |

  3. Which of the following set of values of x satisfies the equation 2^(2...

    Text Solution

    |

  4. Let f(x)=a bsinx+bsqrt(1-a^2)cosx+c , where |a|<<1,b>>0 then (a) ma...

    Text Solution

    |

  5. A variable triangle A B C is circumscribed about a fixed circle of uni...

    Text Solution

    |

  6. Let the sum of all x in the interval [0, 2pi] such that 3 cot^(2) x+8 ...

    Text Solution

    |

  7. Let P(k)=(1+cos(pi/(4k))) (1+cos(((2k-1)pi)/(4k))) (1+cos(((2k+1)pi)/...

    Text Solution

    |

  8. The sides of a triangle are x^2+x+1,2x+1,a n dx^2-1 . Prove that the g...

    Text Solution

    |

  9. Find the values of theta in the interval (-pi/2,pi/2) satisfying the e...

    Text Solution

    |

  10. ABC is a triangle such that sin(2A+B)=sin(C-A)=-sin(B+2C)=1/2. If A,B...

    Text Solution

    |

  11. Let a, b and c be the three sides of a triangle, then prove that the e...

    Text Solution

    |

  12. Number of roots of the equation |sinxcosx| +sqrt(2+t a n^2x+cot^2x)=sq...

    Text Solution

    |

  13. Let f:(-1,1)vecR be such that f(cos4theta)=2/(2-sec^2theta) for thet...

    Text Solution

    |

  14. In a triangle ABC, if the sides a,b,c, are roots of x^3-11 x^2+38 x-40...

    Text Solution

    |

  15. If A=sin45^0+cos45^0a n d B=sin44^0+cos44^0, then (a)A>B (b) A=B

    Text Solution

    |

  16. If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at l...

    Text Solution

    |

  17. Let alt=blt=c be the lengths of the sides of a triangle. If a^2+b^2 &...

    Text Solution

    |

  18. Show that 4sin27^0=(5+sqrt(5))^(1/2)+(3-sqrt(5))^(1/2)

    Text Solution

    |

  19. The sum of all roots of sin(pi(log)3(1/x))=0 in (0,2pi) is

    Text Solution

    |

  20. Three parallel chords of a circle have lengths 2,3,4 units and subtend...

    Text Solution

    |