Home
Class 11
MATHS
Find the value of t, where t in [-pi/2,...

Find the value of t, where `t in [-pi/2,pi/2]` so that `2sint=(5x^2-2x+1)/(3x^2-2x-1),x in R`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

Find the value of x in [-pi,pi] for which f(x)=sqrt((log)_2(4sin^2x-2sqrt(3)sinx-2sinx+sqrt(3)+1)) is defined.

The value of the integral int_(-pi/2)^(pi/2) (x^2 + In(pi + x)/(pi - x))cos x dx is

Find cos 2x if sec x=13/5 where 0 le x le pi/2

Find the value of "cos"(2cos^(-1)x+sin^(-1)x) at x=1/5, where 0lt=pi and -pi/2lt=sin^(-1)xlt=pi/2dot

Find cos 2x if sin x=1/sqrt2 where 0 le x le pi/2

Find sin 2x if cos x=1/sqrt2 where 0 le x le pi/2

Find sin 2x if cos x=sqrt3/2 where 0 le x le pi/2

Find cos 2x if sin x=sqrt3/2 where 0 le x le pi/2

Find the derivative of the following functions w.r.t.x: y=sin 2x + e^(-3x)-tan^-1 5x

tan^(-1)[(cosx)/(1+sinx)] is equal to pi/4-x/2,when (a) x in (-pi/2,(3pi)/2) (b) x in (-pi/2,pi/2) (c) x in (-pi/2,pi) (d) x in (-(3pi)/2,pi/2)

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. if alpha+beta+gamma=2pi prove that cos^2alpha+cos^2beta+cos^2gamma-2co...

    Text Solution

    |

  2. If cosalpha+cosbeta=1/3 and sinalpha+sinbeta=1/4 prove that cos(alpha-...

    Text Solution

    |

  3. Find the value of t, where t in [-pi/2,pi/2] so that 2sint=(5x^2-2x+1...

    Text Solution

    |

  4. If exp{(sin^2 x+sin^4 x+sin^6 x+...)In2} satisfies the quadratic equat...

    Text Solution

    |

  5. If A+B+C=180^@ prove that: sin(B+2C)+sin(C+2A)+sin(A+2B)= 4 sin((B-C)/...

    Text Solution

    |

  6. Prove that (1+sec2theta)(1+sec2^2theta)(1+sec2^3theta)…..(1+sec2^nthet...

    Text Solution

    |

  7. If cot(2x/3)+tan(x/3)=cosec(kx)/3 then the value of k is

    Text Solution

    |

  8. যদি thetain(frac[pi][2],frac[3pi][2]) হয়, তবে sqrt(4cos^4theta+sin^2(2...

    Text Solution

    |

  9. Which one of the following statements is correct ?

    Text Solution

    |

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

    Text Solution

    |

  11. Let fk(x)=1/k(sin^k x+cos^k x) Then f4(x)-f6(x) =

    Text Solution

    |

  12. The value of tan(pi/3)+2tan((2pi)/3)+4cot((4pi)/3)+8tan((8pi)/3) is

    Text Solution

    |

  13. The sum of the series underset(n=1)sum sin((nipi)/720) is

    Text Solution

    |

  14. The minimum value of 2^(sin x) + 2^(cos x) is

    Text Solution

    |

  15. cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)

    Text Solution

    |

  16. The expression tanA(1-cotA)+cotA/(1-tanA) can be written as

    Text Solution

    |

  17. For 0leP, Qle(pi/2)if sinP+cosQ=2 then the value of tan((P+Q)/2) is eq...

    Text Solution

    |

  18. Let f(theta)=(1+sin^2 theta)(2-sin^2 theta) then for all values

    Text Solution

    |

  19. The maximum and minimum values of cos^6 theta +sin^6 theta are respect...

    Text Solution

    |

  20. The value of cos^2 75^@ +cos^2 45^@ +cos^2 15^@- cos^2 30^@-cos^2 60^@...

    Text Solution

    |