Home
Class 11
MATHS
A general solution of tan^2theta+cos2the...

A general solution of `tan^2theta+cos2theta=1` is `(n in Z)` `npi=pi/4` (b) `2npi+pi/4` `npi+pi/4` (d) `npi`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

Which of the following sets can be the subset of the general solution of 1+c a s3x=2cos2x(n in Z)? npi+pi/3 (b) npi+pi/6 npi-pi/6 (d) 2npi

The solution of 4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z) (a) npi+-pi/4 (b) 2npi+-pi/4 npi+pi/3 (d) npi-pi/6

Which of the following sets can be the subset of the general solution of 1+c o s3x=2cos2x(n in Z)? (a) npi+pi/3 (b) npi+pi/6 (c) npi-pi/6 (d) 2npi

For n in Z , the general solution of (sqrt(3)-1)sintheta+(sqrt(3)+1)costheta=2 is(n in Z) theta=2npi+-pi/4+pi/(12) theta=npi+(-1)^npi/4+pi/(12) theta=2npi+-pi/4 theta=npi+(-1)^npi/4-pi/(12)

For n in Z , the general solution of (sqrt(3)-1)sintheta+(sqrt(3)+1)costheta=2i s(n in Z) theta=2npi+-pi/4+pi/(12) theta=npi+(-1)^npi/4+pi/(12) theta=2npi+-pi/4 theta=npi+(-1)^npi/4-pi/(12)

The general values of theta satisfying the equation 2sin^2theta-3sintheta-2=0 is (n in Z)dot npi+(-1)^npi/6 (b) npi+(-1)^npi/2 npi+(-1)^n(5pi)/6 (d) npi+(-1)^n(7pi)/6

Solution of the equation sin(sqrt(1+sin2theta))=sintheta+costhetai s(n in Z) npi-pi/4 (b) npi+pi/(12) (c) npi+pi/6 (d) none of these

If sintheta=1/2a n dcostheta=-(sqrt(3))/2, then the general value of theta is (n in Z)dot (a) 2npi+(5pi)/6 (b) 2npi+pi/6 (c)2npi+(7pi)/6 (d) 2npi+pi/4

The most general value for which tantheta=-1 and costheta=1/(sqrt(2)) is ( n in Z) (A) npi+(7pi)/4 (B) npi+(-1)^n(7pi)/4 (C) 2npi+(7pi)/4 (D) none of these

If (cos e c^2theta-4)x^2+(cottheta+sqrt(3))x+cos^2(3pi)/2=0 holds true for all real x , then the most general values of theta can be given by n in Z) 2npi+(11pi)/6 (b) 2npi+(5pi)/6 2npi+-(7pi)/6 (d) npi+-(11pi)/6

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If in a triangle the angles are in the ratio as 1:2:3 , prove that the...

    Text Solution

    |

  2. A balloon is observed simultaneously from three points A, B and C on a...

    Text Solution

    |

  3. A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (...

    Text Solution

    |

  4. In an equilateral triangle, three coins of radii 1 unit each are kept ...

    Text Solution

    |

  5. Prove that tan(pi/10) is a root of polynomial equation 5x^4-10 x^2+1=0...

    Text Solution

    |

  6. If sinx+cosx=sqrt(y+1/y) for x in [0,pi] , then (a) x=pi/4 (b) y=0 (...

    Text Solution

    |

  7. Which of the following pieces of data does NOT uniquely determine an ...

    Text Solution

    |

  8. Prove that: t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha

    Text Solution

    |

  9. sintheta+sqrt(3)costheta=6x-x^2-11 ,0lt=thetalt=4pi,x in R , (a) hold...

    Text Solution

    |

  10. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

    Text Solution

    |

  11. Find all the solution of 4cos^2xsinx-2sin^2x=3sinx

    Text Solution

    |

  12. If f(theta)=(1-sin2theta+cos2theta)/(2cos2theta) , then value of 8f(1...

    Text Solution

    |

  13. In triangle A B C ,2a csin(1/2(A-B+C)) is equal to (a) a^2+b^2-c^2 (b...

    Text Solution

    |

  14. tan100^0+tan125^0+tan100^0tan125^0 is equal to 0 (b) 1/2 (c) -1 (d) ...

    Text Solution

    |

  15. The solution set of the system of equations x+y=(2pi)/3,cosx+cosy=3/2,...

    Text Solution

    |

  16. Let A1,A2,....An be the vertices of an n-sided regular polygon such t...

    Text Solution

    |

  17. The positive integer value of n >3 satisfying the equation 1/(sin(pi/n...

    Text Solution

    |

  18. Let f(x)=x^2a n dg(x)=sinxfora l lx in Rdot Then the set of all x sat...

    Text Solution

    |

  19. IF the lengths of the side of triangle are 3,5 and 7, then the largest...

    Text Solution

    |

  20. For x in (0, pi) the equation sin x+2 sin 2x-sin 3x=3 has

    Text Solution

    |